13.303 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.187 * * * [progress]: [2/2] Setting up program. 0.190 * [progress]: [Phase 2 of 3] Improving. 0.191 * [simplify]: Simplifying using # : (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 0.193 * * [simplify]: iteration 0 : 29 enodes (cost 8 ) 0.194 * * [simplify]: iteration 1 : 59 enodes (cost 8 ) 0.195 * * [simplify]: iteration 2 : 119 enodes (cost 8 ) 0.197 * * [simplify]: iteration 3 : 325 enodes (cost 8 ) 0.203 * * [simplify]: iteration 4 : 1034 enodes (cost 8 ) 0.225 * * [simplify]: iteration 5 : 5001 enodes (cost 8 ) 0.226 * [simplify]: Simplified to: (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 0.226 * * [progress]: iteration 1 / 4 0.226 * * * [progress]: picking best candidate 0.232 * * * * [pick]: Picked # 0.232 * * * [progress]: localizing error 0.246 * * * [progress]: generating rewritten candidates 0.246 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 0.250 * * * * [progress]: [ 2 / 4 ] rewriting at (2) 0.261 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1) 0.266 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 0.280 * * * [progress]: generating series expansions 0.280 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 0.280 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 0.281 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 0.281 * [taylor]: Taking taylor expansion of 1.0 in k 0.281 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.281 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.281 * [taylor]: Taking taylor expansion of k in k 0.281 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 0.281 * [taylor]: Taking taylor expansion of 1.0 in k 0.281 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.281 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.281 * [taylor]: Taking taylor expansion of k in k 0.282 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 0.282 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 0.282 * [taylor]: Taking taylor expansion of 1.0 in k 0.282 * [taylor]: Taking taylor expansion of (sqrt k) in k 0.282 * [taylor]: Taking taylor expansion of k in k 0.282 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 0.282 * [taylor]: Taking taylor expansion of 1.0 in k 0.282 * [taylor]: Taking taylor expansion of (sqrt k) in k 0.282 * [taylor]: Taking taylor expansion of k in k 0.283 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 0.283 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 0.283 * [taylor]: Taking taylor expansion of 1.0 in k 0.283 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.283 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.283 * [taylor]: Taking taylor expansion of -1 in k 0.283 * [taylor]: Taking taylor expansion of k in k 0.283 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 0.283 * [taylor]: Taking taylor expansion of 1.0 in k 0.283 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.283 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.283 * [taylor]: Taking taylor expansion of -1 in k 0.283 * [taylor]: Taking taylor expansion of k in k 0.288 * * * * [progress]: [ 2 / 4 ] generating series at (2) 0.288 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in (k n) around 0 0.288 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in n 0.288 * [taylor]: Taking taylor expansion of 1.0 in n 0.288 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in n 0.288 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 0.288 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.289 * [taylor]: Taking taylor expansion of k in n 0.289 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 0.289 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 0.289 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 0.289 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 0.289 * [taylor]: Taking taylor expansion of 0.5 in n 0.289 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 0.289 * [taylor]: Taking taylor expansion of 1.0 in n 0.289 * [taylor]: Taking taylor expansion of k in n 0.289 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.289 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.289 * [taylor]: Taking taylor expansion of 2.0 in n 0.289 * [taylor]: Taking taylor expansion of (* n PI) in n 0.289 * [taylor]: Taking taylor expansion of n in n 0.289 * [taylor]: Taking taylor expansion of PI in n 0.289 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in k 0.289 * [taylor]: Taking taylor expansion of 1.0 in k 0.289 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in k 0.289 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.289 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.289 * [taylor]: Taking taylor expansion of k in k 0.289 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 0.289 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 0.289 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 0.289 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 0.289 * [taylor]: Taking taylor expansion of 0.5 in k 0.289 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 0.289 * [taylor]: Taking taylor expansion of 1.0 in k 0.289 * [taylor]: Taking taylor expansion of k in k 0.289 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 0.289 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 0.289 * [taylor]: Taking taylor expansion of 2.0 in k 0.290 * [taylor]: Taking taylor expansion of (* n PI) in k 0.290 * [taylor]: Taking taylor expansion of n in k 0.290 * [taylor]: Taking taylor expansion of PI in k 0.290 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in k 0.290 * [taylor]: Taking taylor expansion of 1.0 in k 0.290 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in k 0.290 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.290 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.290 * [taylor]: Taking taylor expansion of k in k 0.290 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 0.290 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 0.290 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 0.290 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 0.290 * [taylor]: Taking taylor expansion of 0.5 in k 0.290 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 0.290 * [taylor]: Taking taylor expansion of 1.0 in k 0.290 * [taylor]: Taking taylor expansion of k in k 0.290 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 0.290 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 0.290 * [taylor]: Taking taylor expansion of 2.0 in k 0.290 * [taylor]: Taking taylor expansion of (* n PI) in k 0.290 * [taylor]: Taking taylor expansion of n in k 0.290 * [taylor]: Taking taylor expansion of PI in k 0.290 * [taylor]: Taking taylor expansion of 0 in n 0.291 * [taylor]: Taking taylor expansion of (* 1.0 (* NAN (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) in n 0.291 * [taylor]: Taking taylor expansion of 1.0 in n 0.291 * [taylor]: Taking taylor expansion of (* NAN (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in n 0.291 * [taylor]: Taking taylor expansion of NAN in n 0.291 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 0.291 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 0.292 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 0.292 * [taylor]: Taking taylor expansion of 0.5 in n 0.292 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 0.292 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 0.292 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.292 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.292 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.292 * [taylor]: Taking taylor expansion of 1.0 in n 0.292 * [taylor]: Taking taylor expansion of (log PI) in n 0.292 * [taylor]: Taking taylor expansion of PI in n 0.292 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 0.292 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.292 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.292 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.292 * [taylor]: Taking taylor expansion of 1.0 in n 0.292 * [taylor]: Taking taylor expansion of (log n) in n 0.292 * [taylor]: Taking taylor expansion of n in n 0.292 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.292 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.292 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.292 * [taylor]: Taking taylor expansion of 1.0 in n 0.292 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.292 * [taylor]: Taking taylor expansion of 2.0 in n 0.296 * [taylor]: Taking taylor expansion of (- (* 1.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow NAN 3))) (* 0.5 (* (* (log (* 2.0 (* n PI))) NAN) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))) in n 0.296 * [taylor]: Taking taylor expansion of (* 1.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow NAN 3))) in n 0.296 * [taylor]: Taking taylor expansion of 1.0 in n 0.296 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow NAN 3)) in n 0.296 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 0.296 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 0.296 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 0.296 * [taylor]: Taking taylor expansion of 0.5 in n 0.296 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 0.296 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 0.296 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.296 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.296 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.296 * [taylor]: Taking taylor expansion of 1.0 in n 0.296 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.296 * [taylor]: Taking taylor expansion of 2.0 in n 0.296 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 0.296 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.296 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.296 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.296 * [taylor]: Taking taylor expansion of 1.0 in n 0.296 * [taylor]: Taking taylor expansion of (log n) in n 0.296 * [taylor]: Taking taylor expansion of n in n 0.297 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.297 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.297 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.297 * [taylor]: Taking taylor expansion of 1.0 in n 0.297 * [taylor]: Taking taylor expansion of (log PI) in n 0.297 * [taylor]: Taking taylor expansion of PI in n 0.297 * [taylor]: Taking taylor expansion of (pow NAN 3) in n 0.297 * [taylor]: Taking taylor expansion of NAN in n 0.297 * [taylor]: Taking taylor expansion of (* 0.5 (* (* (log (* 2.0 (* n PI))) NAN) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) in n 0.298 * [taylor]: Taking taylor expansion of 0.5 in n 0.298 * [taylor]: Taking taylor expansion of (* (* (log (* 2.0 (* n PI))) NAN) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) in n 0.298 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (* n PI))) NAN) in n 0.298 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.298 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.298 * [taylor]: Taking taylor expansion of 2.0 in n 0.298 * [taylor]: Taking taylor expansion of (* n PI) in n 0.298 * [taylor]: Taking taylor expansion of n in n 0.298 * [taylor]: Taking taylor expansion of PI in n 0.298 * [taylor]: Taking taylor expansion of NAN in n 0.298 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 0.298 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 0.298 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 0.298 * [taylor]: Taking taylor expansion of 0.5 in n 0.298 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 0.298 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 0.298 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.298 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.298 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.298 * [taylor]: Taking taylor expansion of 1.0 in n 0.298 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.298 * [taylor]: Taking taylor expansion of 2.0 in n 0.298 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 0.298 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.298 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.298 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.298 * [taylor]: Taking taylor expansion of 1.0 in n 0.298 * [taylor]: Taking taylor expansion of (log n) in n 0.298 * [taylor]: Taking taylor expansion of n in n 0.298 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.298 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.298 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.298 * [taylor]: Taking taylor expansion of 1.0 in n 0.298 * [taylor]: Taking taylor expansion of (log PI) in n 0.298 * [taylor]: Taking taylor expansion of PI in n 0.309 * [taylor]: Taking taylor expansion of (- (+ (* 0.125 (* (* (pow (log (* 2.0 (* n PI))) 2) NAN) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (* 1.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow NAN 5)))) (* 0.5 (* (* (log (* 2.0 (* n PI))) (pow NAN 3)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))) in n 0.309 * [taylor]: Taking taylor expansion of (+ (* 0.125 (* (* (pow (log (* 2.0 (* n PI))) 2) NAN) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (* 1.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow NAN 5)))) in n 0.309 * [taylor]: Taking taylor expansion of (* 0.125 (* (* (pow (log (* 2.0 (* n PI))) 2) NAN) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) in n 0.309 * [taylor]: Taking taylor expansion of 0.125 in n 0.309 * [taylor]: Taking taylor expansion of (* (* (pow (log (* 2.0 (* n PI))) 2) NAN) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) in n 0.309 * [taylor]: Taking taylor expansion of (* (pow (log (* 2.0 (* n PI))) 2) NAN) in n 0.309 * [taylor]: Taking taylor expansion of (pow (log (* 2.0 (* n PI))) 2) in n 0.309 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.309 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.309 * [taylor]: Taking taylor expansion of 2.0 in n 0.309 * [taylor]: Taking taylor expansion of (* n PI) in n 0.309 * [taylor]: Taking taylor expansion of n in n 0.309 * [taylor]: Taking taylor expansion of PI in n 0.309 * [taylor]: Taking taylor expansion of NAN in n 0.309 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 0.309 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 0.309 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 0.309 * [taylor]: Taking taylor expansion of 0.5 in n 0.310 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 0.310 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 0.310 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.310 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.310 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.310 * [taylor]: Taking taylor expansion of 1.0 in n 0.310 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.310 * [taylor]: Taking taylor expansion of 2.0 in n 0.310 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 0.310 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.310 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.310 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.310 * [taylor]: Taking taylor expansion of 1.0 in n 0.310 * [taylor]: Taking taylor expansion of (log n) in n 0.310 * [taylor]: Taking taylor expansion of n in n 0.310 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.310 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.310 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.310 * [taylor]: Taking taylor expansion of 1.0 in n 0.310 * [taylor]: Taking taylor expansion of (log PI) in n 0.310 * [taylor]: Taking taylor expansion of PI in n 0.311 * [taylor]: Taking taylor expansion of (* 1.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow NAN 5))) in n 0.311 * [taylor]: Taking taylor expansion of 1.0 in n 0.311 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow NAN 5)) in n 0.311 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 0.311 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 0.311 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 0.311 * [taylor]: Taking taylor expansion of 0.5 in n 0.311 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 0.311 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 0.311 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.311 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.311 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.311 * [taylor]: Taking taylor expansion of 1.0 in n 0.311 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.311 * [taylor]: Taking taylor expansion of 2.0 in n 0.311 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 0.311 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.311 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.311 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.311 * [taylor]: Taking taylor expansion of 1.0 in n 0.311 * [taylor]: Taking taylor expansion of (log n) in n 0.311 * [taylor]: Taking taylor expansion of n in n 0.311 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.311 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.311 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.311 * [taylor]: Taking taylor expansion of 1.0 in n 0.312 * [taylor]: Taking taylor expansion of (log PI) in n 0.312 * [taylor]: Taking taylor expansion of PI in n 0.312 * [taylor]: Taking taylor expansion of (pow NAN 5) in n 0.312 * [taylor]: Taking taylor expansion of NAN in n 0.312 * [taylor]: Taking taylor expansion of (* 0.5 (* (* (log (* 2.0 (* n PI))) (pow NAN 3)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) in n 0.312 * [taylor]: Taking taylor expansion of 0.5 in n 0.312 * [taylor]: Taking taylor expansion of (* (* (log (* 2.0 (* n PI))) (pow NAN 3)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) in n 0.312 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (* n PI))) (pow NAN 3)) in n 0.312 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.312 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.313 * [taylor]: Taking taylor expansion of 2.0 in n 0.313 * [taylor]: Taking taylor expansion of (* n PI) in n 0.313 * [taylor]: Taking taylor expansion of n in n 0.313 * [taylor]: Taking taylor expansion of PI in n 0.313 * [taylor]: Taking taylor expansion of (pow NAN 3) in n 0.313 * [taylor]: Taking taylor expansion of NAN in n 0.313 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 0.313 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 0.313 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 0.313 * [taylor]: Taking taylor expansion of 0.5 in n 0.313 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 0.313 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 0.313 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.313 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.313 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.313 * [taylor]: Taking taylor expansion of 1.0 in n 0.313 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.313 * [taylor]: Taking taylor expansion of 2.0 in n 0.313 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 0.313 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.313 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.313 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.313 * [taylor]: Taking taylor expansion of 1.0 in n 0.313 * [taylor]: Taking taylor expansion of (log n) in n 0.313 * [taylor]: Taking taylor expansion of n in n 0.313 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.313 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.313 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.313 * [taylor]: Taking taylor expansion of 1.0 in n 0.313 * [taylor]: Taking taylor expansion of (log PI) in n 0.313 * [taylor]: Taking taylor expansion of PI in n 0.331 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in (k n) around 0 0.332 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in n 0.332 * [taylor]: Taking taylor expansion of 1.0 in n 0.332 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in n 0.332 * [taylor]: Taking taylor expansion of (sqrt k) in n 0.332 * [taylor]: Taking taylor expansion of k in n 0.332 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 0.332 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 0.332 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 0.332 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 0.332 * [taylor]: Taking taylor expansion of 0.5 in n 0.332 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.332 * [taylor]: Taking taylor expansion of 1.0 in n 0.332 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.332 * [taylor]: Taking taylor expansion of k in n 0.332 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.332 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.332 * [taylor]: Taking taylor expansion of 2.0 in n 0.332 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.332 * [taylor]: Taking taylor expansion of PI in n 0.332 * [taylor]: Taking taylor expansion of n in n 0.332 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in k 0.332 * [taylor]: Taking taylor expansion of 1.0 in k 0.332 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in k 0.332 * [taylor]: Taking taylor expansion of (sqrt k) in k 0.332 * [taylor]: Taking taylor expansion of k in k 0.332 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 0.332 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 0.332 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 0.333 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 0.333 * [taylor]: Taking taylor expansion of 0.5 in k 0.333 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 0.333 * [taylor]: Taking taylor expansion of 1.0 in k 0.333 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.333 * [taylor]: Taking taylor expansion of k in k 0.333 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 0.333 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 0.333 * [taylor]: Taking taylor expansion of 2.0 in k 0.333 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.333 * [taylor]: Taking taylor expansion of PI in k 0.333 * [taylor]: Taking taylor expansion of n in k 0.333 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in k 0.333 * [taylor]: Taking taylor expansion of 1.0 in k 0.333 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in k 0.333 * [taylor]: Taking taylor expansion of (sqrt k) in k 0.333 * [taylor]: Taking taylor expansion of k in k 0.333 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 0.333 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 0.333 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 0.333 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 0.333 * [taylor]: Taking taylor expansion of 0.5 in k 0.333 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 0.333 * [taylor]: Taking taylor expansion of 1.0 in k 0.333 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.333 * [taylor]: Taking taylor expansion of k in k 0.333 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 0.333 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 0.333 * [taylor]: Taking taylor expansion of 2.0 in k 0.333 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.333 * [taylor]: Taking taylor expansion of PI in k 0.333 * [taylor]: Taking taylor expansion of n in k 0.334 * [taylor]: Taking taylor expansion of 0 in n 0.334 * [taylor]: Taking taylor expansion of (* 1.0 (* NAN (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 0.334 * [taylor]: Taking taylor expansion of 1.0 in n 0.334 * [taylor]: Taking taylor expansion of (* NAN (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 0.334 * [taylor]: Taking taylor expansion of NAN in n 0.334 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 0.334 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 0.334 * [taylor]: Taking taylor expansion of 0.5 in n 0.334 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 0.334 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.334 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.334 * [taylor]: Taking taylor expansion of 2.0 in n 0.334 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.334 * [taylor]: Taking taylor expansion of PI in n 0.334 * [taylor]: Taking taylor expansion of n in n 0.334 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.334 * [taylor]: Taking taylor expansion of 1.0 in n 0.334 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.334 * [taylor]: Taking taylor expansion of k in n 0.335 * [taylor]: Taking taylor expansion of (* 1.0 (* (pow NAN 3) (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 0.336 * [taylor]: Taking taylor expansion of 1.0 in n 0.336 * [taylor]: Taking taylor expansion of (* (pow NAN 3) (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 0.336 * [taylor]: Taking taylor expansion of (pow NAN 3) in n 0.336 * [taylor]: Taking taylor expansion of NAN in n 0.336 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 0.336 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 0.336 * [taylor]: Taking taylor expansion of 0.5 in n 0.336 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 0.336 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.336 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.336 * [taylor]: Taking taylor expansion of 2.0 in n 0.336 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.336 * [taylor]: Taking taylor expansion of PI in n 0.336 * [taylor]: Taking taylor expansion of n in n 0.336 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.336 * [taylor]: Taking taylor expansion of 1.0 in n 0.336 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.336 * [taylor]: Taking taylor expansion of k in n 0.338 * [taylor]: Taking taylor expansion of (* 1.0 (* (pow NAN 5) (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 0.338 * [taylor]: Taking taylor expansion of 1.0 in n 0.338 * [taylor]: Taking taylor expansion of (* (pow NAN 5) (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 0.338 * [taylor]: Taking taylor expansion of (pow NAN 5) in n 0.338 * [taylor]: Taking taylor expansion of NAN in n 0.338 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 0.338 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 0.338 * [taylor]: Taking taylor expansion of 0.5 in n 0.338 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 0.338 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.339 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.339 * [taylor]: Taking taylor expansion of 2.0 in n 0.339 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.339 * [taylor]: Taking taylor expansion of PI in n 0.339 * [taylor]: Taking taylor expansion of n in n 0.339 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.339 * [taylor]: Taking taylor expansion of 1.0 in n 0.339 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.339 * [taylor]: Taking taylor expansion of k in n 0.341 * [approximate]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in (k n) around 0 0.341 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in n 0.341 * [taylor]: Taking taylor expansion of 1.0 in n 0.341 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in n 0.341 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 0.341 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 0.341 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 0.341 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 0.341 * [taylor]: Taking taylor expansion of 0.5 in n 0.341 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.341 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.341 * [taylor]: Taking taylor expansion of k in n 0.341 * [taylor]: Taking taylor expansion of 1.0 in n 0.341 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.341 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.341 * [taylor]: Taking taylor expansion of -2.0 in n 0.341 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.341 * [taylor]: Taking taylor expansion of PI in n 0.341 * [taylor]: Taking taylor expansion of n in n 0.341 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 0.341 * [taylor]: Taking taylor expansion of (/ -1 k) in n 0.341 * [taylor]: Taking taylor expansion of -1 in n 0.341 * [taylor]: Taking taylor expansion of k in n 0.341 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 0.342 * [taylor]: Taking taylor expansion of 1.0 in k 0.342 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 0.342 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 0.342 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 0.342 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 0.342 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 0.342 * [taylor]: Taking taylor expansion of 0.5 in k 0.342 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 0.342 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.342 * [taylor]: Taking taylor expansion of k in k 0.342 * [taylor]: Taking taylor expansion of 1.0 in k 0.342 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 0.342 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 0.342 * [taylor]: Taking taylor expansion of -2.0 in k 0.342 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.342 * [taylor]: Taking taylor expansion of PI in k 0.342 * [taylor]: Taking taylor expansion of n in k 0.342 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.342 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.342 * [taylor]: Taking taylor expansion of -1 in k 0.342 * [taylor]: Taking taylor expansion of k in k 0.342 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 0.342 * [taylor]: Taking taylor expansion of 1.0 in k 0.342 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 0.342 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 0.342 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 0.342 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 0.342 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 0.342 * [taylor]: Taking taylor expansion of 0.5 in k 0.342 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 0.342 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.342 * [taylor]: Taking taylor expansion of k in k 0.342 * [taylor]: Taking taylor expansion of 1.0 in k 0.342 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 0.342 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 0.342 * [taylor]: Taking taylor expansion of -2.0 in k 0.343 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.343 * [taylor]: Taking taylor expansion of PI in k 0.343 * [taylor]: Taking taylor expansion of n in k 0.343 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.343 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.343 * [taylor]: Taking taylor expansion of -1 in k 0.343 * [taylor]: Taking taylor expansion of k in k 0.343 * [taylor]: Taking taylor expansion of (* 1.0 (/ (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) NAN)) in n 0.343 * [taylor]: Taking taylor expansion of 1.0 in n 0.343 * [taylor]: Taking taylor expansion of (/ (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) NAN) in n 0.343 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 0.343 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 0.343 * [taylor]: Taking taylor expansion of 0.5 in n 0.343 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 0.343 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.343 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.343 * [taylor]: Taking taylor expansion of k in n 0.343 * [taylor]: Taking taylor expansion of 1.0 in n 0.343 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.343 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.343 * [taylor]: Taking taylor expansion of -2.0 in n 0.343 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.343 * [taylor]: Taking taylor expansion of PI in n 0.343 * [taylor]: Taking taylor expansion of n in n 0.344 * [taylor]: Taking taylor expansion of NAN in n 0.345 * [taylor]: Taking taylor expansion of (neg (* 1.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) NAN))) in n 0.345 * [taylor]: Taking taylor expansion of (* 1.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) NAN)) in n 0.345 * [taylor]: Taking taylor expansion of 1.0 in n 0.345 * [taylor]: Taking taylor expansion of (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) NAN) in n 0.345 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 0.345 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 0.345 * [taylor]: Taking taylor expansion of 0.5 in n 0.345 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 0.345 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.345 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.345 * [taylor]: Taking taylor expansion of k in n 0.345 * [taylor]: Taking taylor expansion of 1.0 in n 0.345 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.345 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.345 * [taylor]: Taking taylor expansion of -2.0 in n 0.345 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.345 * [taylor]: Taking taylor expansion of PI in n 0.345 * [taylor]: Taking taylor expansion of n in n 0.345 * [taylor]: Taking taylor expansion of NAN in n 0.347 * [taylor]: Taking taylor expansion of 0 in n 0.350 * [taylor]: Taking taylor expansion of 0 in n 0.350 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1) 0.351 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 0.351 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.351 * [taylor]: Taking taylor expansion of 2.0 in n 0.351 * [taylor]: Taking taylor expansion of (* n PI) in n 0.351 * [taylor]: Taking taylor expansion of n in n 0.351 * [taylor]: Taking taylor expansion of PI in n 0.351 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.351 * [taylor]: Taking taylor expansion of 2.0 in n 0.351 * [taylor]: Taking taylor expansion of (* n PI) in n 0.351 * [taylor]: Taking taylor expansion of n in n 0.351 * [taylor]: Taking taylor expansion of PI in n 0.352 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 0.352 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.352 * [taylor]: Taking taylor expansion of 2.0 in n 0.352 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.352 * [taylor]: Taking taylor expansion of PI in n 0.352 * [taylor]: Taking taylor expansion of n in n 0.352 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.352 * [taylor]: Taking taylor expansion of 2.0 in n 0.352 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.352 * [taylor]: Taking taylor expansion of PI in n 0.352 * [taylor]: Taking taylor expansion of n in n 0.353 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 0.353 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.353 * [taylor]: Taking taylor expansion of -2.0 in n 0.353 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.353 * [taylor]: Taking taylor expansion of PI in n 0.353 * [taylor]: Taking taylor expansion of n in n 0.353 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.353 * [taylor]: Taking taylor expansion of -2.0 in n 0.353 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.353 * [taylor]: Taking taylor expansion of PI in n 0.353 * [taylor]: Taking taylor expansion of n in n 0.354 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 0.354 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in (n k) around 0 0.354 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 0.354 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 0.354 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 0.354 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 0.354 * [taylor]: Taking taylor expansion of 0.5 in k 0.354 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 0.354 * [taylor]: Taking taylor expansion of 1.0 in k 0.354 * [taylor]: Taking taylor expansion of k in k 0.354 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 0.354 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 0.354 * [taylor]: Taking taylor expansion of 2.0 in k 0.354 * [taylor]: Taking taylor expansion of (* n PI) in k 0.354 * [taylor]: Taking taylor expansion of n in k 0.354 * [taylor]: Taking taylor expansion of PI in k 0.354 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 0.354 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 0.354 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 0.354 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 0.354 * [taylor]: Taking taylor expansion of 0.5 in n 0.354 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 0.354 * [taylor]: Taking taylor expansion of 1.0 in n 0.354 * [taylor]: Taking taylor expansion of k in n 0.354 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.354 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.354 * [taylor]: Taking taylor expansion of 2.0 in n 0.354 * [taylor]: Taking taylor expansion of (* n PI) in n 0.354 * [taylor]: Taking taylor expansion of n in n 0.354 * [taylor]: Taking taylor expansion of PI in n 0.355 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 0.355 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 0.355 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 0.355 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 0.355 * [taylor]: Taking taylor expansion of 0.5 in n 0.355 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 0.355 * [taylor]: Taking taylor expansion of 1.0 in n 0.355 * [taylor]: Taking taylor expansion of k in n 0.355 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.355 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.355 * [taylor]: Taking taylor expansion of 2.0 in n 0.355 * [taylor]: Taking taylor expansion of (* n PI) in n 0.355 * [taylor]: Taking taylor expansion of n in n 0.355 * [taylor]: Taking taylor expansion of PI in n 0.355 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 0.355 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 0.355 * [taylor]: Taking taylor expansion of 0.5 in k 0.355 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 0.355 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 0.355 * [taylor]: Taking taylor expansion of 1.0 in k 0.355 * [taylor]: Taking taylor expansion of k in k 0.355 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 0.355 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 0.355 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 0.355 * [taylor]: Taking taylor expansion of 2.0 in k 0.355 * [taylor]: Taking taylor expansion of PI in k 0.356 * [taylor]: Taking taylor expansion of (log n) in k 0.356 * [taylor]: Taking taylor expansion of n in k 0.356 * [taylor]: Taking taylor expansion of 0 in k 0.358 * [taylor]: Taking taylor expansion of 0 in k 0.360 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 0.360 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 0.360 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 0.360 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 0.360 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 0.360 * [taylor]: Taking taylor expansion of 0.5 in k 0.360 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 0.360 * [taylor]: Taking taylor expansion of 1.0 in k 0.360 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.360 * [taylor]: Taking taylor expansion of k in k 0.360 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 0.360 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 0.360 * [taylor]: Taking taylor expansion of 2.0 in k 0.360 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.360 * [taylor]: Taking taylor expansion of PI in k 0.360 * [taylor]: Taking taylor expansion of n in k 0.360 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 0.360 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 0.360 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 0.360 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 0.360 * [taylor]: Taking taylor expansion of 0.5 in n 0.360 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.360 * [taylor]: Taking taylor expansion of 1.0 in n 0.360 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.360 * [taylor]: Taking taylor expansion of k in n 0.360 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.360 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.360 * [taylor]: Taking taylor expansion of 2.0 in n 0.360 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.360 * [taylor]: Taking taylor expansion of PI in n 0.361 * [taylor]: Taking taylor expansion of n in n 0.361 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 0.361 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 0.361 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 0.361 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 0.361 * [taylor]: Taking taylor expansion of 0.5 in n 0.361 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.361 * [taylor]: Taking taylor expansion of 1.0 in n 0.361 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.361 * [taylor]: Taking taylor expansion of k in n 0.361 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.361 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.361 * [taylor]: Taking taylor expansion of 2.0 in n 0.361 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.361 * [taylor]: Taking taylor expansion of PI in n 0.361 * [taylor]: Taking taylor expansion of n in n 0.361 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 0.362 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 0.362 * [taylor]: Taking taylor expansion of 0.5 in k 0.362 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 0.362 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 0.362 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 0.362 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 0.362 * [taylor]: Taking taylor expansion of 2.0 in k 0.362 * [taylor]: Taking taylor expansion of PI in k 0.362 * [taylor]: Taking taylor expansion of (log n) in k 0.362 * [taylor]: Taking taylor expansion of n in k 0.362 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 0.362 * [taylor]: Taking taylor expansion of 1.0 in k 0.362 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.362 * [taylor]: Taking taylor expansion of k in k 0.363 * [taylor]: Taking taylor expansion of 0 in k 0.363 * [taylor]: Taking taylor expansion of 0 in k 0.364 * [taylor]: Taking taylor expansion of 0 in k 0.365 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 0.365 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 0.365 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 0.365 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 0.365 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 0.365 * [taylor]: Taking taylor expansion of 0.5 in k 0.365 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 0.365 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.365 * [taylor]: Taking taylor expansion of k in k 0.365 * [taylor]: Taking taylor expansion of 1.0 in k 0.365 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 0.365 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 0.365 * [taylor]: Taking taylor expansion of -2.0 in k 0.365 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.365 * [taylor]: Taking taylor expansion of PI in k 0.365 * [taylor]: Taking taylor expansion of n in k 0.365 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 0.365 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 0.365 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 0.365 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 0.365 * [taylor]: Taking taylor expansion of 0.5 in n 0.365 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.365 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.365 * [taylor]: Taking taylor expansion of k in n 0.365 * [taylor]: Taking taylor expansion of 1.0 in n 0.365 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.365 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.365 * [taylor]: Taking taylor expansion of -2.0 in n 0.365 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.365 * [taylor]: Taking taylor expansion of PI in n 0.365 * [taylor]: Taking taylor expansion of n in n 0.366 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 0.366 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 0.366 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 0.366 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 0.366 * [taylor]: Taking taylor expansion of 0.5 in n 0.366 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.366 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.366 * [taylor]: Taking taylor expansion of k in n 0.366 * [taylor]: Taking taylor expansion of 1.0 in n 0.366 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.366 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.366 * [taylor]: Taking taylor expansion of -2.0 in n 0.366 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.366 * [taylor]: Taking taylor expansion of PI in n 0.366 * [taylor]: Taking taylor expansion of n in n 0.366 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k 0.366 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k 0.367 * [taylor]: Taking taylor expansion of 0.5 in k 0.367 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k 0.367 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 0.367 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.367 * [taylor]: Taking taylor expansion of k in k 0.367 * [taylor]: Taking taylor expansion of 1.0 in k 0.367 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 0.367 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 0.367 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 0.367 * [taylor]: Taking taylor expansion of -2.0 in k 0.367 * [taylor]: Taking taylor expansion of PI in k 0.367 * [taylor]: Taking taylor expansion of (log n) in k 0.367 * [taylor]: Taking taylor expansion of n in k 0.368 * [taylor]: Taking taylor expansion of 0 in k 0.369 * [taylor]: Taking taylor expansion of 0 in k 0.370 * [taylor]: Taking taylor expansion of 0 in k 0.370 * * * [progress]: simplifying candidates 0.372 * [simplify]: Simplifying using # : (- (log 1.0) (log (sqrt k))) (log (/ 1.0 (sqrt k))) (exp (/ 1.0 (sqrt k))) (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt k) (sqrt k)) (sqrt k))) (* (cbrt (/ 1.0 (sqrt k))) (cbrt (/ 1.0 (sqrt k)))) (cbrt (/ 1.0 (sqrt k))) (* (* (/ 1.0 (sqrt k)) (/ 1.0 (sqrt k))) (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (neg 1.0) (neg (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt 1.0) (cbrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (* (cbrt k) (cbrt k)))) (/ (cbrt 1.0) (sqrt (cbrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 1)) (/ (cbrt 1.0) (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) 1) (/ (cbrt 1.0) (sqrt k)) (/ (sqrt 1.0) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1.0) (cbrt (sqrt k))) (/ (sqrt 1.0) (sqrt (* (cbrt k) (cbrt k)))) (/ (sqrt 1.0) (sqrt (cbrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt 1)) (/ (sqrt 1.0) (sqrt k)) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) 1) (/ (sqrt 1.0) (sqrt k)) (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (cbrt (sqrt k))) (/ 1 (sqrt (* (cbrt k) (cbrt k)))) (/ 1.0 (sqrt (cbrt k))) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 (sqrt 1)) (/ 1.0 (sqrt k)) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 1) (/ 1.0 (sqrt k)) (/ 1 (sqrt k)) (/ (sqrt k) 1.0) (/ 1.0 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (sqrt (* (cbrt k) (cbrt k)))) (/ 1.0 (sqrt (sqrt k))) (/ 1.0 (sqrt 1)) (/ 1.0 (sqrt (sqrt k))) (/ 1.0 1) (/ (sqrt k) (cbrt 1.0)) (/ (sqrt k) (sqrt 1.0)) (/ (sqrt k) 1.0) (+ (- (log 1.0) (log (sqrt k))) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (* (+ (log (* 2.0 PI)) (log n)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (+ (log (/ 1.0 (sqrt k))) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (* (+ (log (* 2.0 PI)) (log n)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (exp (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt k) (sqrt k)) (sqrt k))) (* (* (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (* (* (/ 1.0 (sqrt k)) (/ 1.0 (sqrt k))) (/ 1.0 (sqrt k))) (* (* (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (cbrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (cbrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (cbrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (* (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (* (/ 1.0 (sqrt k)) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ 1.0 (sqrt k)) 1) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (cbrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (cbrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (cbrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (cbrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (cbrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (cbrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (cbrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (+ (+ (log 2.0) (log PI)) (log n)) (+ (log (* 2.0 PI)) (log n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (* (* (* (* 2.0 2.0) 2.0) (* (* PI PI) PI)) (* (* n n) n)) (* (* (* (* 2.0 PI) (* 2.0 PI)) (* 2.0 PI)) (* (* n n) n)) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (* (* (* (* 2.0 PI) n) (* (* 2.0 PI) n)) (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* (* 2.0 PI) 1) (* PI n) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (- 1.0 k) 2.0)) (* (+ (log (* 2.0 PI)) (log n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)) (pow (* (* 2.0 PI) n) (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow (* (* 2.0 PI) n) (sqrt (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1)) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ 1 1)) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ 1 1)) (pow (* (* 2.0 PI) n) 1) (pow (* (* 2.0 PI) n) (- 1.0 k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)) (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (exp (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (* (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (+ (* 1.0 (* (pow k 2) (pow NAN 5))) (+ (* 1.0 NAN) (* 1.0 (* k (pow NAN 3))))) (+ (* 1.0 (/ (pow NAN 5) (pow k 3))) (+ (* 1.0 (/ (pow NAN 3) (pow k 2))) (* 1.0 (/ NAN k)))) (+ (* 1.0 (/ NAN k)) (* 1.0 (/ 1 NAN))) (- (+ (* 0.125 (* (* (pow k 2) (* (pow (log (* 2.0 PI)) 2) NAN)) (pow (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) 0.5))) (+ (* 1.0 (* (* k (pow NAN 3)) (pow (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) 0.5))) (+ (* 1.0 (* (* (pow k 2) (pow NAN 5)) (pow (* (pow 2.0 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow PI 1.0))) 0.5))) (+ (* 0.125 (* (* (pow k 2) (* NAN (pow (log n) 2))) (pow (* (pow 2.0 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow PI 1.0))) 0.5))) (+ (* 1.0 (* (pow (* (pow 2.0 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow PI 1.0))) 0.5) NAN)) (* 0.25 (* (pow (* (pow 2.0 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow PI 1.0))) 0.5) (* NAN (* (pow k 2) (* (log (* 2.0 PI)) (log n))))))))))) (+ (* 0.5 (* (* k (* (log (* 2.0 PI)) NAN)) (pow (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) 0.5))) (+ (* 0.5 (* (* (pow k 2) (* (log (* 2.0 PI)) (pow NAN 3))) (pow (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) 0.5))) (+ (* 0.5 (* (* (pow k 2) (* (pow NAN 3) (log n))) (pow (* (pow 2.0 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow PI 1.0))) 0.5))) (* 0.5 (* (* k (* NAN (log n))) (pow (* (pow 2.0 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow PI 1.0))) 0.5))))))) (+ (* 1.0 (/ (* (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) NAN) k)) (+ (* 1.0 (/ (* (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (pow NAN 3)) (pow k 2))) (* 1.0 (/ (* (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (pow NAN 5)) (pow k 3))))) (+ (* 1.0 (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) NAN)) (* 1.0 (/ (* NAN (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n))))))) k))) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (- (+ (* 0.125 (* (pow k 2) (* (pow (log (* 2.0 PI)) 2) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (+ (* 0.125 (* (pow k 2) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (pow (log n) 2)))) (+ (* 0.25 (* (pow k 2) (* (log (* 2.0 PI)) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n))))) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (+ (* 0.5 (* k (* (log (* 2.0 PI)) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (* 0.5 (* k (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n)))))) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) 0.382 * * [simplify]: iteration 0 : 953 enodes (cost 1493 ) 0.399 * * [simplify]: iteration 1 : 4234 enodes (cost 1364 ) 0.466 * * [simplify]: iteration 2 : 5001 enodes (cost 1350 ) 0.474 * [simplify]: Simplified to: (log (/ 1.0 (sqrt k))) (log (/ 1.0 (sqrt k))) (exp (/ 1.0 (sqrt k))) (pow (/ 1.0 (sqrt k)) 3) (* (cbrt (/ 1.0 (sqrt k))) (cbrt (/ 1.0 (sqrt k)))) (cbrt (/ 1.0 (sqrt k))) (pow (/ 1.0 (sqrt k)) 3) (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (neg 1.0) (neg (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt 1.0) (cbrt (sqrt k))) (/ (cbrt 1.0) (/ (fabs (cbrt k)) (cbrt 1.0))) (/ (cbrt 1.0) (sqrt (cbrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (sqrt k)) (/ (sqrt 1.0) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1.0) (cbrt (sqrt k))) (/ (sqrt 1.0) (fabs (cbrt k))) (/ (sqrt 1.0) (sqrt (cbrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt 1.0) (/ (sqrt 1.0) (sqrt k)) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt 1.0) (/ (sqrt 1.0) (sqrt k)) (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (cbrt (sqrt k))) (/ 1 (* (fabs (cbrt k)) 1)) (/ 1.0 (sqrt (cbrt k))) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) 1 (/ 1.0 (sqrt k)) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) 1 (/ 1.0 (sqrt k)) (/ 1 (sqrt k)) (/ (sqrt k) 1.0) (/ 1.0 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (fabs (cbrt k))) (/ 1.0 (sqrt (sqrt k))) 1.0 (/ 1.0 (sqrt (sqrt k))) 1.0 (/ (sqrt k) (cbrt 1.0)) (/ (sqrt k) (sqrt 1.0)) (/ (sqrt k) 1.0) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (exp (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (pow (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 3) (pow (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 3) (* (cbrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (cbrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (cbrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (pow (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 3) (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (* (/ 1.0 (sqrt k)) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (/ 1.0 (sqrt k)) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (cbrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (cbrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (cbrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (cbrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (cbrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (cbrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (cbrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (/ (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (sqrt k)) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (pow (* (* 2.0 PI) n) 3) (pow (* (* 2.0 PI) n) 3) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (pow (* (* 2.0 PI) n) 3) (pow (* (* 2.0 PI) n) 1/2) (pow (* (* 2.0 PI) n) 1/2) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* 2.0 PI) (* PI n) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (/ (- 1.0 k) 2.0) (/ (- 1.0 k) 2.0) (/ (- 1.0 k) 2.0) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)) (pow (* (* 2.0 PI) n) (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow (* (* 2.0 PI) n) (sqrt (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1)) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (* (* 2.0 PI) n) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (pow (* (* 2.0 PI) n) (- 1.0 k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (exp (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) 3) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (* 1.0 (+ (* (pow k 2) (pow NAN 5)) (+ NAN (* k (pow NAN 3))))) (* 1.0 (+ (/ (pow NAN 5) (pow k 3)) (+ (/ (pow NAN 3) (pow k 2)) (/ NAN k)))) (* 1.0 (+ (/ NAN k) (/ 1 NAN))) (- (- (+ (+ (* (pow (* (pow 2.0 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow PI 1.0))) 0.5) (+ (* 0.125 (* (pow k 2) (* (pow (log (* 2.0 PI)) 2) NAN))) (* 1.0 (* k (pow NAN 3))))) (* (pow (* (pow 2.0 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow PI 1.0))) 0.5) (+ (* 1.0 (* (pow k 2) (pow NAN 5))) (* 0.125 (* (pow k 2) (* NAN (pow (log n) 2))))))) (+ (* 1.0 (* (pow (* (pow 2.0 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow PI 1.0))) 0.5) NAN)) (* 0.25 (* (pow (* (pow 2.0 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow PI 1.0))) 0.5) (* NAN (* (pow k 2) (* (log (* 2.0 PI)) (log n)))))))) (* (pow (* (pow 2.0 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow PI 1.0))) 0.5) (+ (* 0.5 (* k (* (log (* 2.0 PI)) NAN))) (* 0.5 (* (pow k 2) (* (log (* 2.0 PI)) (pow NAN 3))))))) (* (pow (* (pow 2.0 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow PI 1.0))) 0.5) (+ (* 0.5 (* (pow k 2) (* (pow NAN 3) (log n)))) (* 0.5 (* k (* NAN (log n))))))) (* 1.0 (+ (/ (* (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) NAN) k) (+ (/ (* (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (pow NAN 3)) (pow k 2)) (/ (* (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (pow NAN 5)) (pow k 3))))) (* 1.0 (+ (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) NAN) (/ (* NAN (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n))))))) k))) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (- (- (+ (+ (* (* 0.125 (pow k 2)) (+ (* (pow (exp 0.5) (log (* (* 2.0 PI) n))) (pow (log (* 2.0 PI)) 2)) (* (pow (log n) 2) (pow (exp 0.5) (log (* (* 2.0 PI) n)))))) (pow (* (* 2.0 PI) n) 0.5)) (* (* (* (* (log n) (pow (exp 0.5) (log (* (* 2.0 PI) n)))) (log (* 2.0 PI))) (pow k 2)) 0.25)) (* (* (* k (pow (exp 0.5) (log (* (* 2.0 PI) n)))) (log n)) 0.5)) (* (* (* k (log (* 2.0 PI))) (pow (exp 0.5) (log (* (* 2.0 PI) n)))) 0.5)) (pow (* (* 2.0 PI) n) (* 0.5 (- 1.0 k))) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) 0.475 * * * [progress]: adding candidates to table 0.751 * * [progress]: iteration 2 / 4 0.751 * * * [progress]: picking best candidate 0.787 * * * * [pick]: Picked # 0.787 * * * [progress]: localizing error 0.806 * * * [progress]: generating rewritten candidates 0.806 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 0.816 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 1) 0.821 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2 1) 0.826 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2) 0.840 * * * [progress]: generating series expansions 0.840 * * * * [progress]: [ 1 / 4 ] generating series at (2) 0.840 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k)))))) in (n k) around 0 0.840 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k)))))) in k 0.840 * [taylor]: Taking taylor expansion of 1.0 in k 0.840 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))))) in k 0.840 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.840 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.840 * [taylor]: Taking taylor expansion of k in k 0.840 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k)))) in k 0.841 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in k 0.841 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in k 0.841 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in k 0.841 * [taylor]: Taking taylor expansion of 0.5 in k 0.841 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in k 0.841 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in k 0.841 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 0.841 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 0.841 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 0.841 * [taylor]: Taking taylor expansion of 1.0 in k 0.841 * [taylor]: Taking taylor expansion of (log 2.0) in k 0.841 * [taylor]: Taking taylor expansion of 2.0 in k 0.841 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in k 0.841 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 0.841 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 0.841 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 0.841 * [taylor]: Taking taylor expansion of 1.0 in k 0.841 * [taylor]: Taking taylor expansion of (log n) in k 0.841 * [taylor]: Taking taylor expansion of n in k 0.841 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 0.841 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 0.841 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 0.841 * [taylor]: Taking taylor expansion of 1.0 in k 0.841 * [taylor]: Taking taylor expansion of (log PI) in k 0.841 * [taylor]: Taking taylor expansion of PI in k 0.842 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))) in k 0.842 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 k)) in k 0.842 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 k) (log (* 2.0 (* n PI))))) in k 0.842 * [taylor]: Taking taylor expansion of (* (* 0.5 k) (log (* 2.0 (* n PI)))) in k 0.842 * [taylor]: Taking taylor expansion of (* 0.5 k) in k 0.842 * [taylor]: Taking taylor expansion of 0.5 in k 0.842 * [taylor]: Taking taylor expansion of k in k 0.842 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 0.842 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 0.842 * [taylor]: Taking taylor expansion of 2.0 in k 0.842 * [taylor]: Taking taylor expansion of (* n PI) in k 0.842 * [taylor]: Taking taylor expansion of n in k 0.842 * [taylor]: Taking taylor expansion of PI in k 0.843 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k)))))) in n 0.843 * [taylor]: Taking taylor expansion of 1.0 in n 0.843 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))))) in n 0.843 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 0.843 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.843 * [taylor]: Taking taylor expansion of k in n 0.843 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k)))) in n 0.843 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 0.843 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 0.843 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 0.843 * [taylor]: Taking taylor expansion of 0.5 in n 0.843 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 0.843 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 0.843 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.843 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.843 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.843 * [taylor]: Taking taylor expansion of 1.0 in n 0.843 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.843 * [taylor]: Taking taylor expansion of 2.0 in n 0.843 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 0.843 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.843 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.843 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.843 * [taylor]: Taking taylor expansion of 1.0 in n 0.843 * [taylor]: Taking taylor expansion of (log n) in n 0.843 * [taylor]: Taking taylor expansion of n in n 0.843 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.843 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.843 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.843 * [taylor]: Taking taylor expansion of 1.0 in n 0.843 * [taylor]: Taking taylor expansion of (log PI) in n 0.843 * [taylor]: Taking taylor expansion of PI in n 0.844 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))) in n 0.844 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 k)) in n 0.844 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 k) (log (* 2.0 (* n PI))))) in n 0.844 * [taylor]: Taking taylor expansion of (* (* 0.5 k) (log (* 2.0 (* n PI)))) in n 0.844 * [taylor]: Taking taylor expansion of (* 0.5 k) in n 0.844 * [taylor]: Taking taylor expansion of 0.5 in n 0.844 * [taylor]: Taking taylor expansion of k in n 0.844 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.844 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.844 * [taylor]: Taking taylor expansion of 2.0 in n 0.844 * [taylor]: Taking taylor expansion of (* n PI) in n 0.844 * [taylor]: Taking taylor expansion of n in n 0.844 * [taylor]: Taking taylor expansion of PI in n 0.845 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k)))))) in n 0.845 * [taylor]: Taking taylor expansion of 1.0 in n 0.845 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))))) in n 0.845 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 0.845 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.845 * [taylor]: Taking taylor expansion of k in n 0.845 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k)))) in n 0.845 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 0.845 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 0.845 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 0.845 * [taylor]: Taking taylor expansion of 0.5 in n 0.845 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 0.845 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 0.845 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.845 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.845 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.845 * [taylor]: Taking taylor expansion of 1.0 in n 0.845 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.845 * [taylor]: Taking taylor expansion of 2.0 in n 0.845 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 0.845 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.845 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.845 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.845 * [taylor]: Taking taylor expansion of 1.0 in n 0.845 * [taylor]: Taking taylor expansion of (log n) in n 0.845 * [taylor]: Taking taylor expansion of n in n 0.846 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.846 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.846 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.846 * [taylor]: Taking taylor expansion of 1.0 in n 0.846 * [taylor]: Taking taylor expansion of (log PI) in n 0.846 * [taylor]: Taking taylor expansion of PI in n 0.846 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))) in n 0.846 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 k)) in n 0.846 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 k) (log (* 2.0 (* n PI))))) in n 0.847 * [taylor]: Taking taylor expansion of (* (* 0.5 k) (log (* 2.0 (* n PI)))) in n 0.847 * [taylor]: Taking taylor expansion of (* 0.5 k) in n 0.847 * [taylor]: Taking taylor expansion of 0.5 in n 0.847 * [taylor]: Taking taylor expansion of k in n 0.847 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.847 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.847 * [taylor]: Taking taylor expansion of 2.0 in n 0.847 * [taylor]: Taking taylor expansion of (* n PI) in n 0.847 * [taylor]: Taking taylor expansion of n in n 0.847 * [taylor]: Taking taylor expansion of PI in n 0.848 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (* (/ 1 (exp (* 0.5 (* k (+ (log (* 2.0 PI)) (log n)))))) (pow (* (pow PI 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow 2.0 1.0))) 0.5)))) in k 0.848 * [taylor]: Taking taylor expansion of 1.0 in k 0.848 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (/ 1 (exp (* 0.5 (* k (+ (log (* 2.0 PI)) (log n)))))) (pow (* (pow PI 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow 2.0 1.0))) 0.5))) in k 0.848 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.848 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.848 * [taylor]: Taking taylor expansion of k in k 0.848 * [taylor]: Taking taylor expansion of (* (/ 1 (exp (* 0.5 (* k (+ (log (* 2.0 PI)) (log n)))))) (pow (* (pow PI 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow 2.0 1.0))) 0.5)) in k 0.848 * [taylor]: Taking taylor expansion of (/ 1 (exp (* 0.5 (* k (+ (log (* 2.0 PI)) (log n)))))) in k 0.848 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* k (+ (log (* 2.0 PI)) (log n))))) in k 0.848 * [taylor]: Taking taylor expansion of (* 0.5 (* k (+ (log (* 2.0 PI)) (log n)))) in k 0.848 * [taylor]: Taking taylor expansion of 0.5 in k 0.848 * [taylor]: Taking taylor expansion of (* k (+ (log (* 2.0 PI)) (log n))) in k 0.848 * [taylor]: Taking taylor expansion of k in k 0.848 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 0.848 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 0.848 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 0.848 * [taylor]: Taking taylor expansion of 2.0 in k 0.848 * [taylor]: Taking taylor expansion of PI in k 0.848 * [taylor]: Taking taylor expansion of (log n) in k 0.848 * [taylor]: Taking taylor expansion of n in k 0.849 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow 2.0 1.0))) 0.5) in k 0.849 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow 2.0 1.0)))))) in k 0.849 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow 2.0 1.0))))) in k 0.849 * [taylor]: Taking taylor expansion of 0.5 in k 0.849 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow 2.0 1.0)))) in k 0.849 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow 2.0 1.0))) in k 0.849 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 0.849 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 0.849 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 0.849 * [taylor]: Taking taylor expansion of 1.0 in k 0.849 * [taylor]: Taking taylor expansion of (log PI) in k 0.849 * [taylor]: Taking taylor expansion of PI in k 0.849 * [taylor]: Taking taylor expansion of (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow 2.0 1.0)) in k 0.849 * [taylor]: Taking taylor expansion of (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) in k 0.849 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log (exp (* 1.0 (+ (log 1) (log n))))))) in k 0.849 * [taylor]: Taking taylor expansion of (* 1.0 (log (exp (* 1.0 (+ (log 1) (log n)))))) in k 0.849 * [taylor]: Taking taylor expansion of 1.0 in k 0.849 * [taylor]: Taking taylor expansion of (log (exp (* 1.0 (+ (log 1) (log n))))) in k 0.849 * [taylor]: Taking taylor expansion of (exp (* 1.0 (+ (log 1) (log n)))) in k 0.849 * [taylor]: Taking taylor expansion of (* 1.0 (+ (log 1) (log n))) in k 0.849 * [taylor]: Taking taylor expansion of 1.0 in k 0.849 * [taylor]: Taking taylor expansion of (+ (log 1) (log n)) in k 0.849 * [taylor]: Taking taylor expansion of (log 1) in k 0.849 * [taylor]: Taking taylor expansion of 1 in k 0.849 * [taylor]: Taking taylor expansion of (log n) in k 0.849 * [taylor]: Taking taylor expansion of n in k 0.850 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 0.850 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 0.850 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 0.850 * [taylor]: Taking taylor expansion of 1.0 in k 0.850 * [taylor]: Taking taylor expansion of (log 2.0) in k 0.850 * [taylor]: Taking taylor expansion of 2.0 in k 0.854 * [taylor]: Taking taylor expansion of 0 in k 0.863 * [taylor]: Taking taylor expansion of 0 in k 0.878 * [taylor]: Taking taylor expansion of 0 in k 0.903 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt k) (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k)))))) in (n k) around 0 0.903 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k)))))) in k 0.903 * [taylor]: Taking taylor expansion of 1.0 in k 0.903 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))))) in k 0.903 * [taylor]: Taking taylor expansion of (sqrt k) in k 0.903 * [taylor]: Taking taylor expansion of k in k 0.903 * [taylor]: Taking taylor expansion of (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k)))) in k 0.903 * [taylor]: Taking taylor expansion of (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in k 0.903 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in k 0.903 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in k 0.903 * [taylor]: Taking taylor expansion of 0.5 in k 0.903 * [taylor]: Taking taylor expansion of (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in k 0.903 * [taylor]: Taking taylor expansion of (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in k 0.903 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow PI 1.0)) in k 0.903 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 0.904 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 0.904 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 0.904 * [taylor]: Taking taylor expansion of 1.0 in k 0.904 * [taylor]: Taking taylor expansion of (log 2.0) in k 0.904 * [taylor]: Taking taylor expansion of 2.0 in k 0.904 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 0.904 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 0.904 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 0.904 * [taylor]: Taking taylor expansion of 1.0 in k 0.904 * [taylor]: Taking taylor expansion of (log PI) in k 0.904 * [taylor]: Taking taylor expansion of PI in k 0.904 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 0.904 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 0.904 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 0.904 * [taylor]: Taking taylor expansion of 1.0 in k 0.904 * [taylor]: Taking taylor expansion of (log n) in k 0.904 * [taylor]: Taking taylor expansion of n in k 0.905 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))) in k 0.905 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (/ 0.5 k)) in k 0.905 * [taylor]: Taking taylor expansion of (exp (* (/ 0.5 k) (log (* 2.0 (/ PI n))))) in k 0.905 * [taylor]: Taking taylor expansion of (* (/ 0.5 k) (log (* 2.0 (/ PI n)))) in k 0.905 * [taylor]: Taking taylor expansion of (/ 0.5 k) in k 0.905 * [taylor]: Taking taylor expansion of 0.5 in k 0.905 * [taylor]: Taking taylor expansion of k in k 0.905 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 0.905 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 0.905 * [taylor]: Taking taylor expansion of 2.0 in k 0.905 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.905 * [taylor]: Taking taylor expansion of PI in k 0.905 * [taylor]: Taking taylor expansion of n in k 0.905 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k)))))) in n 0.905 * [taylor]: Taking taylor expansion of 1.0 in n 0.905 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))))) in n 0.905 * [taylor]: Taking taylor expansion of (sqrt k) in n 0.905 * [taylor]: Taking taylor expansion of k in n 0.905 * [taylor]: Taking taylor expansion of (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k)))) in n 0.905 * [taylor]: Taking taylor expansion of (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 0.905 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 0.905 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 0.905 * [taylor]: Taking taylor expansion of 0.5 in n 0.905 * [taylor]: Taking taylor expansion of (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 0.905 * [taylor]: Taking taylor expansion of (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 0.906 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow PI 1.0)) in n 0.906 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.906 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.906 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.906 * [taylor]: Taking taylor expansion of 1.0 in n 0.906 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.906 * [taylor]: Taking taylor expansion of 2.0 in n 0.906 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.906 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.906 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.906 * [taylor]: Taking taylor expansion of 1.0 in n 0.906 * [taylor]: Taking taylor expansion of (log PI) in n 0.906 * [taylor]: Taking taylor expansion of PI in n 0.906 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.906 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.906 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.906 * [taylor]: Taking taylor expansion of 1.0 in n 0.906 * [taylor]: Taking taylor expansion of (log n) in n 0.906 * [taylor]: Taking taylor expansion of n in n 0.907 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))) in n 0.907 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (/ 0.5 k)) in n 0.907 * [taylor]: Taking taylor expansion of (exp (* (/ 0.5 k) (log (* 2.0 (/ PI n))))) in n 0.907 * [taylor]: Taking taylor expansion of (* (/ 0.5 k) (log (* 2.0 (/ PI n)))) in n 0.907 * [taylor]: Taking taylor expansion of (/ 0.5 k) in n 0.907 * [taylor]: Taking taylor expansion of 0.5 in n 0.907 * [taylor]: Taking taylor expansion of k in n 0.907 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.907 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.907 * [taylor]: Taking taylor expansion of 2.0 in n 0.907 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.907 * [taylor]: Taking taylor expansion of PI in n 0.907 * [taylor]: Taking taylor expansion of n in n 0.907 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k)))))) in n 0.907 * [taylor]: Taking taylor expansion of 1.0 in n 0.907 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))))) in n 0.907 * [taylor]: Taking taylor expansion of (sqrt k) in n 0.908 * [taylor]: Taking taylor expansion of k in n 0.908 * [taylor]: Taking taylor expansion of (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k)))) in n 0.908 * [taylor]: Taking taylor expansion of (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 0.908 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 0.908 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 0.908 * [taylor]: Taking taylor expansion of 0.5 in n 0.908 * [taylor]: Taking taylor expansion of (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 0.908 * [taylor]: Taking taylor expansion of (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 0.908 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow PI 1.0)) in n 0.908 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.908 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.908 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.908 * [taylor]: Taking taylor expansion of 1.0 in n 0.908 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.908 * [taylor]: Taking taylor expansion of 2.0 in n 0.908 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.908 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.908 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.908 * [taylor]: Taking taylor expansion of 1.0 in n 0.908 * [taylor]: Taking taylor expansion of (log PI) in n 0.908 * [taylor]: Taking taylor expansion of PI in n 0.908 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.908 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.908 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.908 * [taylor]: Taking taylor expansion of 1.0 in n 0.908 * [taylor]: Taking taylor expansion of (log n) in n 0.908 * [taylor]: Taking taylor expansion of n in n 0.909 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))) in n 0.909 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (/ 0.5 k)) in n 0.909 * [taylor]: Taking taylor expansion of (exp (* (/ 0.5 k) (log (* 2.0 (/ PI n))))) in n 0.909 * [taylor]: Taking taylor expansion of (* (/ 0.5 k) (log (* 2.0 (/ PI n)))) in n 0.909 * [taylor]: Taking taylor expansion of (/ 0.5 k) in n 0.909 * [taylor]: Taking taylor expansion of 0.5 in n 0.909 * [taylor]: Taking taylor expansion of k in n 0.909 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.909 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.909 * [taylor]: Taking taylor expansion of 2.0 in n 0.909 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.909 * [taylor]: Taking taylor expansion of PI in n 0.909 * [taylor]: Taking taylor expansion of n in n 0.911 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (* (/ 1 (exp (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k)))) (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0)) 0.5)))) in k 0.911 * [taylor]: Taking taylor expansion of 1.0 in k 0.911 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (/ 1 (exp (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k)))) (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0)) 0.5))) in k 0.911 * [taylor]: Taking taylor expansion of (sqrt k) in k 0.911 * [taylor]: Taking taylor expansion of k in k 0.911 * [taylor]: Taking taylor expansion of (* (/ 1 (exp (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k)))) (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0)) 0.5)) in k 0.911 * [taylor]: Taking taylor expansion of (/ 1 (exp (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k)))) in k 0.911 * [taylor]: Taking taylor expansion of (exp (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k))) in k 0.911 * [taylor]: Taking taylor expansion of (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k)) in k 0.911 * [taylor]: Taking taylor expansion of 0.5 in k 0.911 * [taylor]: Taking taylor expansion of (/ (- (log (* 2.0 PI)) (log n)) k) in k 0.911 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 0.911 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 0.911 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 0.911 * [taylor]: Taking taylor expansion of 2.0 in k 0.911 * [taylor]: Taking taylor expansion of PI in k 0.911 * [taylor]: Taking taylor expansion of (log n) in k 0.911 * [taylor]: Taking taylor expansion of n in k 0.911 * [taylor]: Taking taylor expansion of k in k 0.911 * [taylor]: Taking taylor expansion of (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0)) 0.5) in k 0.911 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0))))) in k 0.911 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0)))) in k 0.911 * [taylor]: Taking taylor expansion of 0.5 in k 0.911 * [taylor]: Taking taylor expansion of (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0))) in k 0.911 * [taylor]: Taking taylor expansion of (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0)) in k 0.911 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow 2.0 1.0)) in k 0.911 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 0.911 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 0.912 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 0.912 * [taylor]: Taking taylor expansion of 1.0 in k 0.912 * [taylor]: Taking taylor expansion of (log PI) in k 0.912 * [taylor]: Taking taylor expansion of PI in k 0.912 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 0.912 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 0.912 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 0.912 * [taylor]: Taking taylor expansion of 1.0 in k 0.912 * [taylor]: Taking taylor expansion of (log 2.0) in k 0.912 * [taylor]: Taking taylor expansion of 2.0 in k 0.912 * [taylor]: Taking taylor expansion of (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) in k 0.912 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log (exp (* 1.0 (+ (log 1) (log n))))))) in k 0.912 * [taylor]: Taking taylor expansion of (* 1.0 (log (exp (* 1.0 (+ (log 1) (log n)))))) in k 0.912 * [taylor]: Taking taylor expansion of 1.0 in k 0.912 * [taylor]: Taking taylor expansion of (log (exp (* 1.0 (+ (log 1) (log n))))) in k 0.912 * [taylor]: Taking taylor expansion of (exp (* 1.0 (+ (log 1) (log n)))) in k 0.912 * [taylor]: Taking taylor expansion of (* 1.0 (+ (log 1) (log n))) in k 0.912 * [taylor]: Taking taylor expansion of 1.0 in k 0.912 * [taylor]: Taking taylor expansion of (+ (log 1) (log n)) in k 0.912 * [taylor]: Taking taylor expansion of (log 1) in k 0.912 * [taylor]: Taking taylor expansion of 1 in k 0.912 * [taylor]: Taking taylor expansion of (log n) in k 0.912 * [taylor]: Taking taylor expansion of n in k 0.917 * [taylor]: Taking taylor expansion of 0 in k 0.925 * [taylor]: Taking taylor expansion of 0 in k 0.939 * [taylor]: Taking taylor expansion of 0 in k 0.949 * [approximate]: Taking taylor expansion of (* 1.0 (* (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5))) in (n k) around 0 0.949 * [taylor]: Taking taylor expansion of (* 1.0 (* (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5))) in k 0.949 * [taylor]: Taking taylor expansion of 1.0 in k 0.949 * [taylor]: Taking taylor expansion of (* (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5)) in k 0.949 * [taylor]: Taking taylor expansion of (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) in k 0.949 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k))) in k 0.949 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.949 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.949 * [taylor]: Taking taylor expansion of -1 in k 0.949 * [taylor]: Taking taylor expansion of k in k 0.949 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (/ -0.5 k)) in k 0.949 * [taylor]: Taking taylor expansion of (exp (* (/ -0.5 k) (log (* -2.0 (/ PI n))))) in k 0.949 * [taylor]: Taking taylor expansion of (* (/ -0.5 k) (log (* -2.0 (/ PI n)))) in k 0.949 * [taylor]: Taking taylor expansion of (/ -0.5 k) in k 0.949 * [taylor]: Taking taylor expansion of -0.5 in k 0.949 * [taylor]: Taking taylor expansion of k in k 0.949 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 0.949 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 0.949 * [taylor]: Taking taylor expansion of -2.0 in k 0.949 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.949 * [taylor]: Taking taylor expansion of PI in k 0.949 * [taylor]: Taking taylor expansion of n in k 0.950 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in k 0.950 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in k 0.950 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in k 0.950 * [taylor]: Taking taylor expansion of 0.5 in k 0.950 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in k 0.950 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in k 0.950 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in k 0.950 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in k 0.950 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in k 0.950 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in k 0.950 * [taylor]: Taking taylor expansion of 1.0 in k 0.950 * [taylor]: Taking taylor expansion of (log -2.0) in k 0.950 * [taylor]: Taking taylor expansion of -2.0 in k 0.950 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 0.950 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 0.950 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 0.950 * [taylor]: Taking taylor expansion of 1.0 in k 0.950 * [taylor]: Taking taylor expansion of (log PI) in k 0.950 * [taylor]: Taking taylor expansion of PI in k 0.950 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 0.950 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 0.950 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 0.950 * [taylor]: Taking taylor expansion of 1.0 in k 0.950 * [taylor]: Taking taylor expansion of (log n) in k 0.950 * [taylor]: Taking taylor expansion of n in k 0.951 * [taylor]: Taking taylor expansion of (* 1.0 (* (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5))) in n 0.951 * [taylor]: Taking taylor expansion of 1.0 in n 0.951 * [taylor]: Taking taylor expansion of (* (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5)) in n 0.951 * [taylor]: Taking taylor expansion of (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) in n 0.951 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k))) in n 0.951 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 0.951 * [taylor]: Taking taylor expansion of (/ -1 k) in n 0.951 * [taylor]: Taking taylor expansion of -1 in n 0.951 * [taylor]: Taking taylor expansion of k in n 0.951 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (/ -0.5 k)) in n 0.951 * [taylor]: Taking taylor expansion of (exp (* (/ -0.5 k) (log (* -2.0 (/ PI n))))) in n 0.951 * [taylor]: Taking taylor expansion of (* (/ -0.5 k) (log (* -2.0 (/ PI n)))) in n 0.952 * [taylor]: Taking taylor expansion of (/ -0.5 k) in n 0.952 * [taylor]: Taking taylor expansion of -0.5 in n 0.952 * [taylor]: Taking taylor expansion of k in n 0.952 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.952 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.952 * [taylor]: Taking taylor expansion of -2.0 in n 0.952 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.952 * [taylor]: Taking taylor expansion of PI in n 0.952 * [taylor]: Taking taylor expansion of n in n 0.952 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 0.952 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 0.952 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 0.952 * [taylor]: Taking taylor expansion of 0.5 in n 0.952 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 0.952 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 0.952 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in n 0.952 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in n 0.952 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in n 0.952 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in n 0.952 * [taylor]: Taking taylor expansion of 1.0 in n 0.952 * [taylor]: Taking taylor expansion of (log -2.0) in n 0.952 * [taylor]: Taking taylor expansion of -2.0 in n 0.952 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.952 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.952 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.952 * [taylor]: Taking taylor expansion of 1.0 in n 0.952 * [taylor]: Taking taylor expansion of (log PI) in n 0.952 * [taylor]: Taking taylor expansion of PI in n 0.953 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.953 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.953 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.953 * [taylor]: Taking taylor expansion of 1.0 in n 0.953 * [taylor]: Taking taylor expansion of (log n) in n 0.953 * [taylor]: Taking taylor expansion of n in n 0.954 * [taylor]: Taking taylor expansion of (* 1.0 (* (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5))) in n 0.954 * [taylor]: Taking taylor expansion of 1.0 in n 0.954 * [taylor]: Taking taylor expansion of (* (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5)) in n 0.954 * [taylor]: Taking taylor expansion of (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) in n 0.954 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k))) in n 0.954 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 0.954 * [taylor]: Taking taylor expansion of (/ -1 k) in n 0.954 * [taylor]: Taking taylor expansion of -1 in n 0.954 * [taylor]: Taking taylor expansion of k in n 0.954 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (/ -0.5 k)) in n 0.954 * [taylor]: Taking taylor expansion of (exp (* (/ -0.5 k) (log (* -2.0 (/ PI n))))) in n 0.954 * [taylor]: Taking taylor expansion of (* (/ -0.5 k) (log (* -2.0 (/ PI n)))) in n 0.954 * [taylor]: Taking taylor expansion of (/ -0.5 k) in n 0.954 * [taylor]: Taking taylor expansion of -0.5 in n 0.954 * [taylor]: Taking taylor expansion of k in n 0.954 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.954 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.954 * [taylor]: Taking taylor expansion of -2.0 in n 0.954 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.954 * [taylor]: Taking taylor expansion of PI in n 0.954 * [taylor]: Taking taylor expansion of n in n 0.954 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 0.954 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 0.955 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 0.955 * [taylor]: Taking taylor expansion of 0.5 in n 0.955 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 0.955 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 0.955 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in n 0.955 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in n 0.955 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in n 0.955 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in n 0.955 * [taylor]: Taking taylor expansion of 1.0 in n 0.955 * [taylor]: Taking taylor expansion of (log -2.0) in n 0.955 * [taylor]: Taking taylor expansion of -2.0 in n 0.955 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.955 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.955 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.955 * [taylor]: Taking taylor expansion of 1.0 in n 0.955 * [taylor]: Taking taylor expansion of (log PI) in n 0.955 * [taylor]: Taking taylor expansion of PI in n 0.955 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.955 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.955 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.955 * [taylor]: Taking taylor expansion of 1.0 in n 0.955 * [taylor]: Taking taylor expansion of (log n) in n 0.955 * [taylor]: Taking taylor expansion of n in n 0.957 * [taylor]: Taking taylor expansion of (* 1.0 (* (/ 1 (* (exp (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k))) (sqrt (/ -1 k)))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0)) 0.5))) in k 0.957 * [taylor]: Taking taylor expansion of 1.0 in k 0.957 * [taylor]: Taking taylor expansion of (* (/ 1 (* (exp (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k))) (sqrt (/ -1 k)))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0)) 0.5)) in k 0.957 * [taylor]: Taking taylor expansion of (/ 1 (* (exp (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k))) (sqrt (/ -1 k)))) in k 0.957 * [taylor]: Taking taylor expansion of (* (exp (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k))) (sqrt (/ -1 k))) in k 0.957 * [taylor]: Taking taylor expansion of (exp (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k))) in k 0.957 * [taylor]: Taking taylor expansion of (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k)) in k 0.957 * [taylor]: Taking taylor expansion of -0.5 in k 0.957 * [taylor]: Taking taylor expansion of (/ (- (log (* -2.0 PI)) (log n)) k) in k 0.957 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 0.957 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 0.957 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 0.957 * [taylor]: Taking taylor expansion of -2.0 in k 0.957 * [taylor]: Taking taylor expansion of PI in k 0.957 * [taylor]: Taking taylor expansion of (log n) in k 0.957 * [taylor]: Taking taylor expansion of n in k 0.957 * [taylor]: Taking taylor expansion of k in k 0.957 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.957 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.957 * [taylor]: Taking taylor expansion of -1 in k 0.957 * [taylor]: Taking taylor expansion of k in k 0.958 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0)) 0.5) in k 0.958 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0))))) in k 0.958 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0)))) in k 0.958 * [taylor]: Taking taylor expansion of 0.5 in k 0.958 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0))) in k 0.958 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0)) in k 0.958 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in k 0.958 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in k 0.958 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in k 0.958 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in k 0.958 * [taylor]: Taking taylor expansion of 1.0 in k 0.958 * [taylor]: Taking taylor expansion of (log -2.0) in k 0.958 * [taylor]: Taking taylor expansion of -2.0 in k 0.958 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 0.958 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 0.958 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 0.958 * [taylor]: Taking taylor expansion of 1.0 in k 0.958 * [taylor]: Taking taylor expansion of (log PI) in k 0.958 * [taylor]: Taking taylor expansion of PI in k 0.958 * [taylor]: Taking taylor expansion of (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) in k 0.958 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log (exp (* 1.0 (+ (log 1) (log n))))))) in k 0.958 * [taylor]: Taking taylor expansion of (* 1.0 (log (exp (* 1.0 (+ (log 1) (log n)))))) in k 0.958 * [taylor]: Taking taylor expansion of 1.0 in k 0.958 * [taylor]: Taking taylor expansion of (log (exp (* 1.0 (+ (log 1) (log n))))) in k 0.958 * [taylor]: Taking taylor expansion of (exp (* 1.0 (+ (log 1) (log n)))) in k 0.958 * [taylor]: Taking taylor expansion of (* 1.0 (+ (log 1) (log n))) in k 0.958 * [taylor]: Taking taylor expansion of 1.0 in k 0.958 * [taylor]: Taking taylor expansion of (+ (log 1) (log n)) in k 0.958 * [taylor]: Taking taylor expansion of (log 1) in k 0.958 * [taylor]: Taking taylor expansion of 1 in k 0.958 * [taylor]: Taking taylor expansion of (log n) in k 0.958 * [taylor]: Taking taylor expansion of n in k 0.964 * [taylor]: Taking taylor expansion of 0 in k 0.973 * [taylor]: Taking taylor expansion of 0 in k 0.984 * [taylor]: Taking taylor expansion of 0 in k 0.985 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 1) 0.985 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 0.985 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.985 * [taylor]: Taking taylor expansion of 2.0 in n 0.985 * [taylor]: Taking taylor expansion of (* n PI) in n 0.985 * [taylor]: Taking taylor expansion of n in n 0.985 * [taylor]: Taking taylor expansion of PI in n 0.985 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.985 * [taylor]: Taking taylor expansion of 2.0 in n 0.985 * [taylor]: Taking taylor expansion of (* n PI) in n 0.985 * [taylor]: Taking taylor expansion of n in n 0.985 * [taylor]: Taking taylor expansion of PI in n 0.986 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 0.986 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.986 * [taylor]: Taking taylor expansion of 2.0 in n 0.986 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.986 * [taylor]: Taking taylor expansion of PI in n 0.986 * [taylor]: Taking taylor expansion of n in n 0.986 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.986 * [taylor]: Taking taylor expansion of 2.0 in n 0.986 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.986 * [taylor]: Taking taylor expansion of PI in n 0.986 * [taylor]: Taking taylor expansion of n in n 0.987 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 0.987 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.987 * [taylor]: Taking taylor expansion of -2.0 in n 0.987 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.987 * [taylor]: Taking taylor expansion of PI in n 0.987 * [taylor]: Taking taylor expansion of n in n 0.987 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.987 * [taylor]: Taking taylor expansion of -2.0 in n 0.987 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.987 * [taylor]: Taking taylor expansion of PI in n 0.987 * [taylor]: Taking taylor expansion of n in n 0.988 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2 1) 0.988 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 0.988 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.988 * [taylor]: Taking taylor expansion of 2.0 in n 0.988 * [taylor]: Taking taylor expansion of (* n PI) in n 0.989 * [taylor]: Taking taylor expansion of n in n 0.989 * [taylor]: Taking taylor expansion of PI in n 0.989 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.989 * [taylor]: Taking taylor expansion of 2.0 in n 0.989 * [taylor]: Taking taylor expansion of (* n PI) in n 0.989 * [taylor]: Taking taylor expansion of n in n 0.989 * [taylor]: Taking taylor expansion of PI in n 0.989 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 0.989 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.990 * [taylor]: Taking taylor expansion of 2.0 in n 0.990 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.990 * [taylor]: Taking taylor expansion of PI in n 0.990 * [taylor]: Taking taylor expansion of n in n 0.990 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.990 * [taylor]: Taking taylor expansion of 2.0 in n 0.990 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.990 * [taylor]: Taking taylor expansion of PI in n 0.990 * [taylor]: Taking taylor expansion of n in n 0.991 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 0.991 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.991 * [taylor]: Taking taylor expansion of -2.0 in n 0.991 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.991 * [taylor]: Taking taylor expansion of PI in n 0.991 * [taylor]: Taking taylor expansion of n in n 0.991 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.991 * [taylor]: Taking taylor expansion of -2.0 in n 0.991 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.991 * [taylor]: Taking taylor expansion of PI in n 0.991 * [taylor]: Taking taylor expansion of n in n 0.992 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2) 0.992 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) 0.5) in (n) around 0 0.992 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) 0.5) in n 0.992 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* 2.0 (* n PI))))) in n 0.992 * [taylor]: Taking taylor expansion of (* 0.5 (log (* 2.0 (* n PI)))) in n 0.992 * [taylor]: Taking taylor expansion of 0.5 in n 0.992 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.992 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.992 * [taylor]: Taking taylor expansion of 2.0 in n 0.992 * [taylor]: Taking taylor expansion of (* n PI) in n 0.992 * [taylor]: Taking taylor expansion of n in n 0.992 * [taylor]: Taking taylor expansion of PI in n 0.992 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) 0.5) in n 0.992 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* 2.0 (* n PI))))) in n 0.992 * [taylor]: Taking taylor expansion of (* 0.5 (log (* 2.0 (* n PI)))) in n 0.992 * [taylor]: Taking taylor expansion of 0.5 in n 0.992 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.992 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.992 * [taylor]: Taking taylor expansion of 2.0 in n 0.992 * [taylor]: Taking taylor expansion of (* n PI) in n 0.992 * [taylor]: Taking taylor expansion of n in n 0.992 * [taylor]: Taking taylor expansion of PI in n 1.000 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) 0.5) in (n) around 0 1.000 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) 0.5) in n 1.000 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* 2.0 (/ PI n))))) in n 1.000 * [taylor]: Taking taylor expansion of (* 0.5 (log (* 2.0 (/ PI n)))) in n 1.000 * [taylor]: Taking taylor expansion of 0.5 in n 1.000 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 1.000 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.000 * [taylor]: Taking taylor expansion of 2.0 in n 1.000 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.000 * [taylor]: Taking taylor expansion of PI in n 1.000 * [taylor]: Taking taylor expansion of n in n 1.000 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) 0.5) in n 1.000 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* 2.0 (/ PI n))))) in n 1.000 * [taylor]: Taking taylor expansion of (* 0.5 (log (* 2.0 (/ PI n)))) in n 1.000 * [taylor]: Taking taylor expansion of 0.5 in n 1.000 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 1.001 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.001 * [taylor]: Taking taylor expansion of 2.0 in n 1.001 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.001 * [taylor]: Taking taylor expansion of PI in n 1.001 * [taylor]: Taking taylor expansion of n in n 1.008 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) 0.5) in (n) around 0 1.008 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) 0.5) in n 1.008 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* -2.0 (/ PI n))))) in n 1.008 * [taylor]: Taking taylor expansion of (* 0.5 (log (* -2.0 (/ PI n)))) in n 1.008 * [taylor]: Taking taylor expansion of 0.5 in n 1.008 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 1.008 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.008 * [taylor]: Taking taylor expansion of -2.0 in n 1.008 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.008 * [taylor]: Taking taylor expansion of PI in n 1.008 * [taylor]: Taking taylor expansion of n in n 1.008 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) 0.5) in n 1.008 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* -2.0 (/ PI n))))) in n 1.008 * [taylor]: Taking taylor expansion of (* 0.5 (log (* -2.0 (/ PI n)))) in n 1.009 * [taylor]: Taking taylor expansion of 0.5 in n 1.009 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 1.009 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.009 * [taylor]: Taking taylor expansion of -2.0 in n 1.009 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.009 * [taylor]: Taking taylor expansion of PI in n 1.009 * [taylor]: Taking taylor expansion of n in n 1.016 * * * [progress]: simplifying candidates 1.020 * [simplify]: Simplifying using # : (- (+ (log 1.0) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ k 2.0)))) (- (+ (log 1.0) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (+ (log (* 2.0 PI)) (log n)) (/ k 2.0)))) (- (+ (log 1.0) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)))) (- (+ (log 1.0) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)))) (- (+ (log 1.0) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (log (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (+ (log 1.0) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ 1.0 2.0))) (log (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (+ (log 1.0) (* (+ (log (* 2.0 PI)) (log n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ k 2.0)))) (- (+ (log 1.0) (* (+ (log (* 2.0 PI)) (log n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (+ (log (* 2.0 PI)) (log n)) (/ k 2.0)))) (- (+ (log 1.0) (* (+ (log (* 2.0 PI)) (log n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)))) (- (+ (log 1.0) (* (+ (log (* 2.0 PI)) (log n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)))) (- (+ (log 1.0) (* (+ (log (* 2.0 PI)) (log n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (log (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (+ (log 1.0) (* (+ (log (* 2.0 PI)) (log n)) (/ 1.0 2.0))) (log (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (+ (log 1.0) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ k 2.0)))) (- (+ (log 1.0) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (+ (log (* 2.0 PI)) (log n)) (/ k 2.0)))) (- (+ (log 1.0) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)))) (- (+ (log 1.0) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)))) (- (+ (log 1.0) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (log (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (+ (log 1.0) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0))) (log (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (+ (log 1.0) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ k 2.0)))) (- (+ (log 1.0) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (+ (log (* 2.0 PI)) (log n)) (/ k 2.0)))) (- (+ (log 1.0) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)))) (- (+ (log 1.0) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)))) (- (+ (log 1.0) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (log (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (+ (log 1.0) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0))) (log (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (+ (log 1.0) (log (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (+ (log (sqrt k)) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ k 2.0)))) (- (+ (log 1.0) (log (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (+ (log (sqrt k)) (* (+ (log (* 2.0 PI)) (log n)) (/ k 2.0)))) (- (+ (log 1.0) (log (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (+ (log (sqrt k)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)))) (- (+ (log 1.0) (log (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (+ (log (sqrt k)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)))) (- (+ (log 1.0) (log (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (+ (log (sqrt k)) (log (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (+ (log 1.0) (log (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (log (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (log (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (+ (log (sqrt k)) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ k 2.0)))) (- (log (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (+ (log (sqrt k)) (* (+ (log (* 2.0 PI)) (log n)) (/ k 2.0)))) (- (log (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (+ (log (sqrt k)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)))) (- (log (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (+ (log (sqrt k)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)))) (- (log (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (+ (log (sqrt k)) (log (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (log (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (log (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (exp (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (/ (* (* (* 1.0 1.0) 1.0) (* (* (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (* (* (* (sqrt k) (sqrt k)) (sqrt k)) (* (* (pow (* (* 2.0 PI) n) (/ k 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0))) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (/ (* (* (* 1.0 1.0) 1.0) (* (* (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (* (* (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (/ (* (* (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (* (* (* (sqrt k) (sqrt k)) (sqrt k)) (* (* (pow (* (* 2.0 PI) n) (/ k 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0))) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (/ (* (* (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (* (* (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (* (cbrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (cbrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))))) (cbrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (* (* (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (neg (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (neg (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (/ 1.0 (sqrt k)) (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0))) (/ 1 (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (/ (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt k)) (/ (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (+ (+ (log 2.0) (log PI)) (log n)) (+ (log (* 2.0 PI)) (log n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (* (* (* (* 2.0 2.0) 2.0) (* (* PI PI) PI)) (* (* n n) n)) (* (* (* (* 2.0 PI) (* 2.0 PI)) (* 2.0 PI)) (* (* n n) n)) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (* (* (* (* 2.0 PI) n) (* (* 2.0 PI) n)) (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* (* 2.0 PI) 1) (* PI n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (+ (+ (log 2.0) (log PI)) (log n)) (+ (log (* 2.0 PI)) (log n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (* (* (* (* 2.0 2.0) 2.0) (* (* PI PI) PI)) (* (* n n) n)) (* (* (* (* 2.0 PI) (* 2.0 PI)) (* 2.0 PI)) (* (* n n) n)) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (* (* (* (* 2.0 PI) n) (* (* 2.0 PI) n)) (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* (* 2.0 PI) 1) (* PI n) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ 1.0 2.0)) (* (+ (log (* 2.0 PI)) (log n)) (/ 1.0 2.0)) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (* 1 (/ 1.0 2.0)) (* 1 (/ 1.0 2.0)) (* 1 (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (* (cbrt (/ 1.0 2.0)) (cbrt (/ 1.0 2.0)))) (pow (* (* 2.0 PI) n) (sqrt (/ 1.0 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt 1.0) (cbrt 1.0)) 1)) (pow (* (* 2.0 PI) n) (/ (sqrt 1.0) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (sqrt 1.0) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (sqrt 1.0) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ 1 1)) (pow (* (* 2.0 PI) n) 1) (pow (* (* 2.0 PI) n) 1.0) (pow (* 2.0 PI) (/ 1.0 2.0)) (pow n (/ 1.0 2.0)) (log (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (exp (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (cbrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (cbrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (* (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (- (+ (* 0.125 (* (* (pow k 2) (* (pow (log (* 2.0 PI)) 2) NAN)) (pow (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) 0.5))) (+ (* 1.0 (* (* k (pow NAN 3)) (pow (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) 0.5))) (+ (* 0.25 (* (* NAN (* (pow k 2) (* (log (* 2.0 PI)) (log n)))) (pow (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) 0.5))) (+ (* 1.0 (* (* (pow k 2) (pow NAN 5)) (pow (* (pow 2.0 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow PI 1.0))) 0.5))) (+ (* 0.125 (* (* (pow k 2) (* NAN (pow (log n) 2))) (pow (* (pow 2.0 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow PI 1.0))) 0.5))) (* 1.0 (* NAN (pow (* (pow PI 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow 2.0 1.0))) 0.5)))))))) (+ (* 0.5 (* (* k (* NAN (log n))) (pow (* (pow 2.0 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow PI 1.0))) 0.5))) (+ (* 0.5 (* (* (pow k 2) (* (log (* 2.0 PI)) (pow NAN 3))) (pow (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) 0.5))) (+ (* 0.5 (* (* k (* (log (* 2.0 PI)) NAN)) (pow (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) 0.5))) (* 0.5 (* (* (pow k 2) (* (pow NAN 3) (log n))) (pow (* (pow 2.0 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow PI 1.0))) 0.5))))))) (+ (* 1.0 (* (/ (pow NAN 5) (* (pow k 3) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) k))))) (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow (exp (* 1.0 (+ (log 1) (log (/ 1 n))))) 1.0)) 0.5))) (+ (* 1.0 (* (/ (pow NAN 3) (* (pow k 2) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) k))))) (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow (exp (* 1.0 (+ (log 1) (log (/ 1 n))))) 1.0)) 0.5))) (* 1.0 (* (/ NAN (* k (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) k))))) (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow (exp (* 1.0 (+ (log 1) (log (/ 1 n))))) 1.0)) 0.5))))) (+ (* 1.0 (* (/ NAN (* (exp (* 0.5 (* k (- (log (* -2.0 PI)) (log (/ -1 n)))))) k)) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow (exp (* 1.0 (+ (log 1) (log (/ -1 n))))) 1.0)) 0.5))) (* 1.0 (* (/ 1 (* (exp (* 0.5 (* k (- (log (* -2.0 PI)) (log (/ -1 n)))))) NAN)) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow (exp (* 1.0 (+ (log 1) (log (/ -1 n))))) 1.0)) 0.5)))) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (exp (* 0.5 (- (log (* 2.0 PI)) (log (/ 1 n))))) (exp (* 0.5 (- (log (* -2.0 PI)) (log (/ -1 n))))) 1.030 * * [simplify]: iteration 0 : 939 enodes (cost 1410 ) 1.044 * * [simplify]: iteration 1 : 4082 enodes (cost 1188 ) 1.109 * * [simplify]: iteration 2 : 5002 enodes (cost 1188 ) 1.116 * [simplify]: Simplified to: (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (exp (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (pow (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) 3) (pow (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) 3) (pow (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) 3) (pow (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) 3) (* (cbrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (cbrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))))) (cbrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (pow (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) 3) (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (neg (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (neg (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (/ 1.0 (sqrt k)) (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0))) (/ 1 (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (/ (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt k)) (/ (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (pow (* (* 2.0 PI) n) 3) (pow (* (* 2.0 PI) n) 3) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (pow (* (* 2.0 PI) n) 3) (pow (* (* 2.0 PI) n) 1/2) (pow (* (* 2.0 PI) n) 1/2) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* 2.0 PI) (* PI n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (pow (* (* 2.0 PI) n) 3) (pow (* (* 2.0 PI) n) 3) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (pow (* (* 2.0 PI) n) 3) (pow (* (* 2.0 PI) n) 1/2) (pow (* (* 2.0 PI) n) 1/2) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* 2.0 PI) (* PI n) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (/ 1.0 2.0) (/ 1.0 2.0) (/ 1.0 2.0) (pow (* (* 2.0 PI) n) (* (cbrt (/ 1.0 2.0)) (cbrt (/ 1.0 2.0)))) (pow (* (* 2.0 PI) n) (sqrt (/ 1.0 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt 1.0) (cbrt 1.0)) 1)) (pow (* (* 2.0 PI) n) (/ (sqrt 1.0) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (sqrt 1.0) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (sqrt 1.0) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (pow (* (* 2.0 PI) n) 1.0) (pow (* 2.0 PI) (/ 1.0 2.0)) (pow n (/ 1.0 2.0)) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (exp (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (cbrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (cbrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (pow (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) 3) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (- (- (+ (+ (* (pow (* (pow 2.0 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow PI 1.0))) 0.5) (+ (* 0.125 (* (pow k 2) (* (pow (log (* 2.0 PI)) 2) NAN))) (* 1.0 (* k (pow NAN 3))))) (* (pow (* (pow 2.0 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow PI 1.0))) 0.5) (+ (* 0.25 (* NAN (* (pow k 2) (* (log (* 2.0 PI)) (log n))))) (* 1.0 (* (pow k 2) (pow NAN 5)))))) (* (pow (* (pow 2.0 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow PI 1.0))) 0.5) (+ (* 1.0 NAN) (* 0.125 (* (pow k 2) (* NAN (pow (log n) 2))))))) (* (pow (* (pow 2.0 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow PI 1.0))) 0.5) (+ (* 0.5 (* k (* NAN (log n)))) (* 0.5 (* (pow k 2) (* (log (* 2.0 PI)) (pow NAN 3))))))) (* (pow (* (pow 2.0 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow PI 1.0))) 0.5) (+ (* 0.5 (* k (* (log (* 2.0 PI)) NAN))) (* 0.5 (* (pow k 2) (* (pow NAN 3) (log n))))))) (+ (* 1.0 (* (/ NAN (* k (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) k))))) (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow (exp (* 1.0 (+ (log 1) (log (/ 1 n))))) 1.0)) 0.5))) (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow (exp (* 1.0 (+ (log 1) (log (/ 1 n))))) 1.0)) 0.5) (+ (* 1.0 (/ (pow NAN 5) (* (pow k 3) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) k)))))) (* 1.0 (/ (pow NAN 3) (* (pow k 2) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) k))))))))) (* (* (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow (exp (* 1.0 (+ (log 1) (log (/ -1 n))))) 1.0)) 0.5) (+ (/ NAN (* (exp (* 0.5 (* k (- (log (* -2.0 PI)) (log (/ -1 n)))))) k)) (/ 1 (* (exp (* 0.5 (* k (- (log (* -2.0 PI)) (log (/ -1 n)))))) NAN)))) 1.0) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (pow (* (* 2.0 PI) n) 0.5) (pow (* (* 2.0 PI) n) 0.5) (exp (* 0.5 (- (log (* -2.0 PI)) (log (/ -1 n))))) 1.117 * * * [progress]: adding candidates to table 1.289 * * [progress]: iteration 3 / 4 1.289 * * * [progress]: picking best candidate 1.326 * * * * [pick]: Picked # 1.326 * * * [progress]: localizing error 1.350 * * * [progress]: generating rewritten candidates 1.350 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 1.367 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1) 1.378 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1) 1.388 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2 2 1) 1.403 * * * [progress]: generating series expansions 1.403 * * * * [progress]: [ 1 / 4 ] generating series at (2) 1.404 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (/ (pow (sqrt 1.0) 2) (pow (* 2.0 (* n PI)) (* 0.5 k))))) in (n k) around 0 1.404 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (/ (pow (sqrt 1.0) 2) (pow (* 2.0 (* n PI)) (* 0.5 k))))) in k 1.404 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 1.404 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.404 * [taylor]: Taking taylor expansion of k in k 1.404 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (/ (pow (sqrt 1.0) 2) (pow (* 2.0 (* n PI)) (* 0.5 k)))) in k 1.404 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in k 1.404 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in k 1.404 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in k 1.404 * [taylor]: Taking taylor expansion of 0.5 in k 1.404 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in k 1.404 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in k 1.404 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 1.404 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 1.404 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 1.404 * [taylor]: Taking taylor expansion of 1.0 in k 1.404 * [taylor]: Taking taylor expansion of (log 2.0) in k 1.404 * [taylor]: Taking taylor expansion of 2.0 in k 1.404 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in k 1.404 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 1.404 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 1.404 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 1.404 * [taylor]: Taking taylor expansion of 1.0 in k 1.404 * [taylor]: Taking taylor expansion of (log n) in k 1.404 * [taylor]: Taking taylor expansion of n in k 1.404 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 1.404 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 1.404 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 1.404 * [taylor]: Taking taylor expansion of 1.0 in k 1.404 * [taylor]: Taking taylor expansion of (log PI) in k 1.404 * [taylor]: Taking taylor expansion of PI in k 1.405 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 1.0) 2) (pow (* 2.0 (* n PI)) (* 0.5 k))) in k 1.405 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in k 1.405 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k 1.405 * [taylor]: Taking taylor expansion of 1.0 in k 1.405 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 k)) in k 1.405 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 k) (log (* 2.0 (* n PI))))) in k 1.405 * [taylor]: Taking taylor expansion of (* (* 0.5 k) (log (* 2.0 (* n PI)))) in k 1.405 * [taylor]: Taking taylor expansion of (* 0.5 k) in k 1.405 * [taylor]: Taking taylor expansion of 0.5 in k 1.405 * [taylor]: Taking taylor expansion of k in k 1.405 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 1.405 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 1.405 * [taylor]: Taking taylor expansion of 2.0 in k 1.405 * [taylor]: Taking taylor expansion of (* n PI) in k 1.406 * [taylor]: Taking taylor expansion of n in k 1.406 * [taylor]: Taking taylor expansion of PI in k 1.406 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (/ (pow (sqrt 1.0) 2) (pow (* 2.0 (* n PI)) (* 0.5 k))))) in n 1.406 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 1.406 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.406 * [taylor]: Taking taylor expansion of k in n 1.406 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (/ (pow (sqrt 1.0) 2) (pow (* 2.0 (* n PI)) (* 0.5 k)))) in n 1.406 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 1.406 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 1.406 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 1.406 * [taylor]: Taking taylor expansion of 0.5 in n 1.406 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 1.406 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 1.406 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 1.406 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 1.406 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 1.406 * [taylor]: Taking taylor expansion of 1.0 in n 1.406 * [taylor]: Taking taylor expansion of (log 2.0) in n 1.406 * [taylor]: Taking taylor expansion of 2.0 in n 1.406 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 1.406 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 1.407 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 1.407 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 1.407 * [taylor]: Taking taylor expansion of 1.0 in n 1.407 * [taylor]: Taking taylor expansion of (log n) in n 1.407 * [taylor]: Taking taylor expansion of n in n 1.407 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 1.407 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 1.407 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 1.407 * [taylor]: Taking taylor expansion of 1.0 in n 1.407 * [taylor]: Taking taylor expansion of (log PI) in n 1.407 * [taylor]: Taking taylor expansion of PI in n 1.408 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 1.0) 2) (pow (* 2.0 (* n PI)) (* 0.5 k))) in n 1.408 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in n 1.408 * [taylor]: Taking taylor expansion of (sqrt 1.0) in n 1.408 * [taylor]: Taking taylor expansion of 1.0 in n 1.408 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 k)) in n 1.408 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 k) (log (* 2.0 (* n PI))))) in n 1.408 * [taylor]: Taking taylor expansion of (* (* 0.5 k) (log (* 2.0 (* n PI)))) in n 1.408 * [taylor]: Taking taylor expansion of (* 0.5 k) in n 1.408 * [taylor]: Taking taylor expansion of 0.5 in n 1.408 * [taylor]: Taking taylor expansion of k in n 1.408 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 1.408 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.408 * [taylor]: Taking taylor expansion of 2.0 in n 1.408 * [taylor]: Taking taylor expansion of (* n PI) in n 1.408 * [taylor]: Taking taylor expansion of n in n 1.408 * [taylor]: Taking taylor expansion of PI in n 1.408 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (/ (pow (sqrt 1.0) 2) (pow (* 2.0 (* n PI)) (* 0.5 k))))) in n 1.408 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 1.408 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.408 * [taylor]: Taking taylor expansion of k in n 1.409 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (/ (pow (sqrt 1.0) 2) (pow (* 2.0 (* n PI)) (* 0.5 k)))) in n 1.409 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 1.409 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 1.409 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 1.409 * [taylor]: Taking taylor expansion of 0.5 in n 1.409 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 1.409 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 1.409 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 1.409 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 1.409 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 1.409 * [taylor]: Taking taylor expansion of 1.0 in n 1.409 * [taylor]: Taking taylor expansion of (log 2.0) in n 1.409 * [taylor]: Taking taylor expansion of 2.0 in n 1.409 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 1.409 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 1.409 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 1.409 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 1.409 * [taylor]: Taking taylor expansion of 1.0 in n 1.409 * [taylor]: Taking taylor expansion of (log n) in n 1.409 * [taylor]: Taking taylor expansion of n in n 1.409 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 1.409 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 1.409 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 1.409 * [taylor]: Taking taylor expansion of 1.0 in n 1.409 * [taylor]: Taking taylor expansion of (log PI) in n 1.409 * [taylor]: Taking taylor expansion of PI in n 1.410 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 1.0) 2) (pow (* 2.0 (* n PI)) (* 0.5 k))) in n 1.410 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in n 1.410 * [taylor]: Taking taylor expansion of (sqrt 1.0) in n 1.410 * [taylor]: Taking taylor expansion of 1.0 in n 1.410 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 k)) in n 1.410 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 k) (log (* 2.0 (* n PI))))) in n 1.410 * [taylor]: Taking taylor expansion of (* (* 0.5 k) (log (* 2.0 (* n PI)))) in n 1.410 * [taylor]: Taking taylor expansion of (* 0.5 k) in n 1.410 * [taylor]: Taking taylor expansion of 0.5 in n 1.410 * [taylor]: Taking taylor expansion of k in n 1.410 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 1.410 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.410 * [taylor]: Taking taylor expansion of 2.0 in n 1.410 * [taylor]: Taking taylor expansion of (* n PI) in n 1.410 * [taylor]: Taking taylor expansion of n in n 1.410 * [taylor]: Taking taylor expansion of PI in n 1.412 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (/ (pow (sqrt 1.0) 2) (exp (* 0.5 (* k (+ (log (* 2.0 PI)) (log n)))))) (pow (* (pow PI 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow 2.0 1.0))) 0.5))) in k 1.412 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 1.412 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.412 * [taylor]: Taking taylor expansion of k in k 1.412 * [taylor]: Taking taylor expansion of (* (/ (pow (sqrt 1.0) 2) (exp (* 0.5 (* k (+ (log (* 2.0 PI)) (log n)))))) (pow (* (pow PI 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow 2.0 1.0))) 0.5)) in k 1.412 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 1.0) 2) (exp (* 0.5 (* k (+ (log (* 2.0 PI)) (log n)))))) in k 1.412 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in k 1.412 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k 1.412 * [taylor]: Taking taylor expansion of 1.0 in k 1.412 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* k (+ (log (* 2.0 PI)) (log n))))) in k 1.412 * [taylor]: Taking taylor expansion of (* 0.5 (* k (+ (log (* 2.0 PI)) (log n)))) in k 1.412 * [taylor]: Taking taylor expansion of 0.5 in k 1.412 * [taylor]: Taking taylor expansion of (* k (+ (log (* 2.0 PI)) (log n))) in k 1.412 * [taylor]: Taking taylor expansion of k in k 1.412 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 1.412 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 1.412 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 1.412 * [taylor]: Taking taylor expansion of 2.0 in k 1.412 * [taylor]: Taking taylor expansion of PI in k 1.412 * [taylor]: Taking taylor expansion of (log n) in k 1.412 * [taylor]: Taking taylor expansion of n in k 1.413 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow 2.0 1.0))) 0.5) in k 1.413 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow 2.0 1.0)))))) in k 1.413 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow 2.0 1.0))))) in k 1.413 * [taylor]: Taking taylor expansion of 0.5 in k 1.413 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow 2.0 1.0)))) in k 1.413 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow 2.0 1.0))) in k 1.413 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 1.413 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 1.413 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 1.413 * [taylor]: Taking taylor expansion of 1.0 in k 1.413 * [taylor]: Taking taylor expansion of (log PI) in k 1.413 * [taylor]: Taking taylor expansion of PI in k 1.413 * [taylor]: Taking taylor expansion of (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow 2.0 1.0)) in k 1.413 * [taylor]: Taking taylor expansion of (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) in k 1.413 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log (exp (* 1.0 (+ (log 1) (log n))))))) in k 1.413 * [taylor]: Taking taylor expansion of (* 1.0 (log (exp (* 1.0 (+ (log 1) (log n)))))) in k 1.413 * [taylor]: Taking taylor expansion of 1.0 in k 1.413 * [taylor]: Taking taylor expansion of (log (exp (* 1.0 (+ (log 1) (log n))))) in k 1.413 * [taylor]: Taking taylor expansion of (exp (* 1.0 (+ (log 1) (log n)))) in k 1.413 * [taylor]: Taking taylor expansion of (* 1.0 (+ (log 1) (log n))) in k 1.413 * [taylor]: Taking taylor expansion of 1.0 in k 1.413 * [taylor]: Taking taylor expansion of (+ (log 1) (log n)) in k 1.413 * [taylor]: Taking taylor expansion of (log 1) in k 1.413 * [taylor]: Taking taylor expansion of 1 in k 1.413 * [taylor]: Taking taylor expansion of (log n) in k 1.413 * [taylor]: Taking taylor expansion of n in k 1.414 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 1.414 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 1.414 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 1.414 * [taylor]: Taking taylor expansion of 1.0 in k 1.414 * [taylor]: Taking taylor expansion of (log 2.0) in k 1.414 * [taylor]: Taking taylor expansion of 2.0 in k 1.418 * [taylor]: Taking taylor expansion of 0 in k 1.427 * [taylor]: Taking taylor expansion of 0 in k 1.447 * [taylor]: Taking taylor expansion of 0 in k 1.473 * [approximate]: Taking taylor expansion of (* (sqrt k) (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ (pow (sqrt 1.0) 2) (pow (* 2.0 (/ PI n)) (/ 0.5 k))))) in (n k) around 0 1.473 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ (pow (sqrt 1.0) 2) (pow (* 2.0 (/ PI n)) (/ 0.5 k))))) in k 1.474 * [taylor]: Taking taylor expansion of (sqrt k) in k 1.474 * [taylor]: Taking taylor expansion of k in k 1.474 * [taylor]: Taking taylor expansion of (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ (pow (sqrt 1.0) 2) (pow (* 2.0 (/ PI n)) (/ 0.5 k)))) in k 1.474 * [taylor]: Taking taylor expansion of (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in k 1.474 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in k 1.474 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in k 1.474 * [taylor]: Taking taylor expansion of 0.5 in k 1.474 * [taylor]: Taking taylor expansion of (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in k 1.474 * [taylor]: Taking taylor expansion of (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in k 1.474 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow PI 1.0)) in k 1.474 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 1.474 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 1.474 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 1.474 * [taylor]: Taking taylor expansion of 1.0 in k 1.474 * [taylor]: Taking taylor expansion of (log 2.0) in k 1.474 * [taylor]: Taking taylor expansion of 2.0 in k 1.474 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 1.474 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 1.474 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 1.474 * [taylor]: Taking taylor expansion of 1.0 in k 1.474 * [taylor]: Taking taylor expansion of (log PI) in k 1.474 * [taylor]: Taking taylor expansion of PI in k 1.474 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 1.474 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 1.474 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 1.474 * [taylor]: Taking taylor expansion of 1.0 in k 1.474 * [taylor]: Taking taylor expansion of (log n) in k 1.474 * [taylor]: Taking taylor expansion of n in k 1.475 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 1.0) 2) (pow (* 2.0 (/ PI n)) (/ 0.5 k))) in k 1.475 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in k 1.475 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k 1.475 * [taylor]: Taking taylor expansion of 1.0 in k 1.475 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (/ 0.5 k)) in k 1.475 * [taylor]: Taking taylor expansion of (exp (* (/ 0.5 k) (log (* 2.0 (/ PI n))))) in k 1.475 * [taylor]: Taking taylor expansion of (* (/ 0.5 k) (log (* 2.0 (/ PI n)))) in k 1.475 * [taylor]: Taking taylor expansion of (/ 0.5 k) in k 1.475 * [taylor]: Taking taylor expansion of 0.5 in k 1.475 * [taylor]: Taking taylor expansion of k in k 1.475 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 1.475 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 1.475 * [taylor]: Taking taylor expansion of 2.0 in k 1.475 * [taylor]: Taking taylor expansion of (/ PI n) in k 1.475 * [taylor]: Taking taylor expansion of PI in k 1.475 * [taylor]: Taking taylor expansion of n in k 1.476 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ (pow (sqrt 1.0) 2) (pow (* 2.0 (/ PI n)) (/ 0.5 k))))) in n 1.476 * [taylor]: Taking taylor expansion of (sqrt k) in n 1.476 * [taylor]: Taking taylor expansion of k in n 1.476 * [taylor]: Taking taylor expansion of (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ (pow (sqrt 1.0) 2) (pow (* 2.0 (/ PI n)) (/ 0.5 k)))) in n 1.476 * [taylor]: Taking taylor expansion of (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 1.476 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 1.476 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 1.476 * [taylor]: Taking taylor expansion of 0.5 in n 1.476 * [taylor]: Taking taylor expansion of (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 1.476 * [taylor]: Taking taylor expansion of (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 1.476 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow PI 1.0)) in n 1.476 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 1.476 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 1.476 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 1.476 * [taylor]: Taking taylor expansion of 1.0 in n 1.476 * [taylor]: Taking taylor expansion of (log 2.0) in n 1.476 * [taylor]: Taking taylor expansion of 2.0 in n 1.476 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 1.476 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 1.476 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 1.476 * [taylor]: Taking taylor expansion of 1.0 in n 1.476 * [taylor]: Taking taylor expansion of (log PI) in n 1.476 * [taylor]: Taking taylor expansion of PI in n 1.476 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 1.476 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 1.476 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 1.476 * [taylor]: Taking taylor expansion of 1.0 in n 1.476 * [taylor]: Taking taylor expansion of (log n) in n 1.476 * [taylor]: Taking taylor expansion of n in n 1.477 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 1.0) 2) (pow (* 2.0 (/ PI n)) (/ 0.5 k))) in n 1.477 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in n 1.477 * [taylor]: Taking taylor expansion of (sqrt 1.0) in n 1.477 * [taylor]: Taking taylor expansion of 1.0 in n 1.477 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (/ 0.5 k)) in n 1.477 * [taylor]: Taking taylor expansion of (exp (* (/ 0.5 k) (log (* 2.0 (/ PI n))))) in n 1.477 * [taylor]: Taking taylor expansion of (* (/ 0.5 k) (log (* 2.0 (/ PI n)))) in n 1.477 * [taylor]: Taking taylor expansion of (/ 0.5 k) in n 1.477 * [taylor]: Taking taylor expansion of 0.5 in n 1.477 * [taylor]: Taking taylor expansion of k in n 1.477 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 1.478 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.478 * [taylor]: Taking taylor expansion of 2.0 in n 1.478 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.478 * [taylor]: Taking taylor expansion of PI in n 1.478 * [taylor]: Taking taylor expansion of n in n 1.478 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ (pow (sqrt 1.0) 2) (pow (* 2.0 (/ PI n)) (/ 0.5 k))))) in n 1.478 * [taylor]: Taking taylor expansion of (sqrt k) in n 1.478 * [taylor]: Taking taylor expansion of k in n 1.478 * [taylor]: Taking taylor expansion of (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ (pow (sqrt 1.0) 2) (pow (* 2.0 (/ PI n)) (/ 0.5 k)))) in n 1.478 * [taylor]: Taking taylor expansion of (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 1.478 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 1.478 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 1.478 * [taylor]: Taking taylor expansion of 0.5 in n 1.478 * [taylor]: Taking taylor expansion of (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 1.478 * [taylor]: Taking taylor expansion of (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 1.478 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow PI 1.0)) in n 1.478 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 1.478 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 1.478 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 1.478 * [taylor]: Taking taylor expansion of 1.0 in n 1.478 * [taylor]: Taking taylor expansion of (log 2.0) in n 1.478 * [taylor]: Taking taylor expansion of 2.0 in n 1.478 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 1.478 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 1.478 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 1.478 * [taylor]: Taking taylor expansion of 1.0 in n 1.478 * [taylor]: Taking taylor expansion of (log PI) in n 1.478 * [taylor]: Taking taylor expansion of PI in n 1.479 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 1.479 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 1.479 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 1.479 * [taylor]: Taking taylor expansion of 1.0 in n 1.479 * [taylor]: Taking taylor expansion of (log n) in n 1.479 * [taylor]: Taking taylor expansion of n in n 1.480 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 1.0) 2) (pow (* 2.0 (/ PI n)) (/ 0.5 k))) in n 1.480 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in n 1.480 * [taylor]: Taking taylor expansion of (sqrt 1.0) in n 1.480 * [taylor]: Taking taylor expansion of 1.0 in n 1.480 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (/ 0.5 k)) in n 1.480 * [taylor]: Taking taylor expansion of (exp (* (/ 0.5 k) (log (* 2.0 (/ PI n))))) in n 1.480 * [taylor]: Taking taylor expansion of (* (/ 0.5 k) (log (* 2.0 (/ PI n)))) in n 1.480 * [taylor]: Taking taylor expansion of (/ 0.5 k) in n 1.480 * [taylor]: Taking taylor expansion of 0.5 in n 1.480 * [taylor]: Taking taylor expansion of k in n 1.480 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 1.480 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.480 * [taylor]: Taking taylor expansion of 2.0 in n 1.480 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.480 * [taylor]: Taking taylor expansion of PI in n 1.480 * [taylor]: Taking taylor expansion of n in n 1.481 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0)) 0.5) (/ (pow (sqrt 1.0) 2) (exp (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k)))))) in k 1.481 * [taylor]: Taking taylor expansion of (sqrt k) in k 1.481 * [taylor]: Taking taylor expansion of k in k 1.481 * [taylor]: Taking taylor expansion of (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0)) 0.5) (/ (pow (sqrt 1.0) 2) (exp (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k))))) in k 1.481 * [taylor]: Taking taylor expansion of (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0)) 0.5) in k 1.481 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0))))) in k 1.481 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0)))) in k 1.481 * [taylor]: Taking taylor expansion of 0.5 in k 1.481 * [taylor]: Taking taylor expansion of (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0))) in k 1.481 * [taylor]: Taking taylor expansion of (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0)) in k 1.481 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow PI 1.0)) in k 1.481 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 1.481 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 1.481 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 1.481 * [taylor]: Taking taylor expansion of 1.0 in k 1.481 * [taylor]: Taking taylor expansion of (log 2.0) in k 1.481 * [taylor]: Taking taylor expansion of 2.0 in k 1.481 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 1.481 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 1.481 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 1.481 * [taylor]: Taking taylor expansion of 1.0 in k 1.481 * [taylor]: Taking taylor expansion of (log PI) in k 1.482 * [taylor]: Taking taylor expansion of PI in k 1.482 * [taylor]: Taking taylor expansion of (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) in k 1.482 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log (exp (* 1.0 (+ (log 1) (log n))))))) in k 1.482 * [taylor]: Taking taylor expansion of (* 1.0 (log (exp (* 1.0 (+ (log 1) (log n)))))) in k 1.482 * [taylor]: Taking taylor expansion of 1.0 in k 1.482 * [taylor]: Taking taylor expansion of (log (exp (* 1.0 (+ (log 1) (log n))))) in k 1.482 * [taylor]: Taking taylor expansion of (exp (* 1.0 (+ (log 1) (log n)))) in k 1.482 * [taylor]: Taking taylor expansion of (* 1.0 (+ (log 1) (log n))) in k 1.482 * [taylor]: Taking taylor expansion of 1.0 in k 1.482 * [taylor]: Taking taylor expansion of (+ (log 1) (log n)) in k 1.482 * [taylor]: Taking taylor expansion of (log 1) in k 1.482 * [taylor]: Taking taylor expansion of 1 in k 1.482 * [taylor]: Taking taylor expansion of (log n) in k 1.482 * [taylor]: Taking taylor expansion of n in k 1.483 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 1.0) 2) (exp (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k)))) in k 1.483 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in k 1.483 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k 1.483 * [taylor]: Taking taylor expansion of 1.0 in k 1.483 * [taylor]: Taking taylor expansion of (exp (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k))) in k 1.483 * [taylor]: Taking taylor expansion of (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k)) in k 1.483 * [taylor]: Taking taylor expansion of 0.5 in k 1.483 * [taylor]: Taking taylor expansion of (/ (- (log (* 2.0 PI)) (log n)) k) in k 1.483 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 1.483 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 1.483 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 1.483 * [taylor]: Taking taylor expansion of 2.0 in k 1.483 * [taylor]: Taking taylor expansion of PI in k 1.483 * [taylor]: Taking taylor expansion of (log n) in k 1.483 * [taylor]: Taking taylor expansion of n in k 1.483 * [taylor]: Taking taylor expansion of k in k 1.488 * [taylor]: Taking taylor expansion of 0 in k 1.496 * [taylor]: Taking taylor expansion of 0 in k 1.507 * [taylor]: Taking taylor expansion of 0 in k 1.516 * [approximate]: Taking taylor expansion of (* (/ (pow (sqrt 1.0) 2) (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5)) in (n k) around 0 1.516 * [taylor]: Taking taylor expansion of (* (/ (pow (sqrt 1.0) 2) (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5)) in k 1.516 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 1.0) 2) (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) in k 1.516 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in k 1.516 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k 1.516 * [taylor]: Taking taylor expansion of 1.0 in k 1.516 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k))) in k 1.516 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 1.516 * [taylor]: Taking taylor expansion of (/ -1 k) in k 1.516 * [taylor]: Taking taylor expansion of -1 in k 1.516 * [taylor]: Taking taylor expansion of k in k 1.516 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (/ -0.5 k)) in k 1.516 * [taylor]: Taking taylor expansion of (exp (* (/ -0.5 k) (log (* -2.0 (/ PI n))))) in k 1.516 * [taylor]: Taking taylor expansion of (* (/ -0.5 k) (log (* -2.0 (/ PI n)))) in k 1.516 * [taylor]: Taking taylor expansion of (/ -0.5 k) in k 1.516 * [taylor]: Taking taylor expansion of -0.5 in k 1.517 * [taylor]: Taking taylor expansion of k in k 1.517 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 1.517 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 1.517 * [taylor]: Taking taylor expansion of -2.0 in k 1.517 * [taylor]: Taking taylor expansion of (/ PI n) in k 1.517 * [taylor]: Taking taylor expansion of PI in k 1.517 * [taylor]: Taking taylor expansion of n in k 1.519 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in k 1.519 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in k 1.519 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in k 1.519 * [taylor]: Taking taylor expansion of 0.5 in k 1.519 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in k 1.519 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in k 1.519 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in k 1.519 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in k 1.519 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in k 1.519 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in k 1.519 * [taylor]: Taking taylor expansion of 1.0 in k 1.519 * [taylor]: Taking taylor expansion of (log -2.0) in k 1.519 * [taylor]: Taking taylor expansion of -2.0 in k 1.519 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 1.519 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 1.519 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 1.519 * [taylor]: Taking taylor expansion of 1.0 in k 1.519 * [taylor]: Taking taylor expansion of (log PI) in k 1.519 * [taylor]: Taking taylor expansion of PI in k 1.519 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 1.519 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 1.519 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 1.519 * [taylor]: Taking taylor expansion of 1.0 in k 1.519 * [taylor]: Taking taylor expansion of (log n) in k 1.519 * [taylor]: Taking taylor expansion of n in k 1.520 * [taylor]: Taking taylor expansion of (* (/ (pow (sqrt 1.0) 2) (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5)) in n 1.520 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 1.0) 2) (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) in n 1.520 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in n 1.520 * [taylor]: Taking taylor expansion of (sqrt 1.0) in n 1.520 * [taylor]: Taking taylor expansion of 1.0 in n 1.520 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k))) in n 1.520 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 1.520 * [taylor]: Taking taylor expansion of (/ -1 k) in n 1.520 * [taylor]: Taking taylor expansion of -1 in n 1.520 * [taylor]: Taking taylor expansion of k in n 1.520 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (/ -0.5 k)) in n 1.520 * [taylor]: Taking taylor expansion of (exp (* (/ -0.5 k) (log (* -2.0 (/ PI n))))) in n 1.521 * [taylor]: Taking taylor expansion of (* (/ -0.5 k) (log (* -2.0 (/ PI n)))) in n 1.521 * [taylor]: Taking taylor expansion of (/ -0.5 k) in n 1.521 * [taylor]: Taking taylor expansion of -0.5 in n 1.521 * [taylor]: Taking taylor expansion of k in n 1.521 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 1.521 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.521 * [taylor]: Taking taylor expansion of -2.0 in n 1.521 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.521 * [taylor]: Taking taylor expansion of PI in n 1.521 * [taylor]: Taking taylor expansion of n in n 1.521 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 1.521 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 1.521 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 1.521 * [taylor]: Taking taylor expansion of 0.5 in n 1.521 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 1.521 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 1.521 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in n 1.521 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in n 1.521 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in n 1.521 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in n 1.521 * [taylor]: Taking taylor expansion of 1.0 in n 1.521 * [taylor]: Taking taylor expansion of (log -2.0) in n 1.521 * [taylor]: Taking taylor expansion of -2.0 in n 1.521 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 1.521 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 1.522 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 1.522 * [taylor]: Taking taylor expansion of 1.0 in n 1.522 * [taylor]: Taking taylor expansion of (log PI) in n 1.522 * [taylor]: Taking taylor expansion of PI in n 1.522 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 1.522 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 1.522 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 1.522 * [taylor]: Taking taylor expansion of 1.0 in n 1.522 * [taylor]: Taking taylor expansion of (log n) in n 1.522 * [taylor]: Taking taylor expansion of n in n 1.523 * [taylor]: Taking taylor expansion of (* (/ (pow (sqrt 1.0) 2) (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5)) in n 1.523 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 1.0) 2) (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) in n 1.523 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in n 1.523 * [taylor]: Taking taylor expansion of (sqrt 1.0) in n 1.523 * [taylor]: Taking taylor expansion of 1.0 in n 1.523 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k))) in n 1.523 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 1.523 * [taylor]: Taking taylor expansion of (/ -1 k) in n 1.523 * [taylor]: Taking taylor expansion of -1 in n 1.523 * [taylor]: Taking taylor expansion of k in n 1.523 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (/ -0.5 k)) in n 1.523 * [taylor]: Taking taylor expansion of (exp (* (/ -0.5 k) (log (* -2.0 (/ PI n))))) in n 1.523 * [taylor]: Taking taylor expansion of (* (/ -0.5 k) (log (* -2.0 (/ PI n)))) in n 1.523 * [taylor]: Taking taylor expansion of (/ -0.5 k) in n 1.523 * [taylor]: Taking taylor expansion of -0.5 in n 1.523 * [taylor]: Taking taylor expansion of k in n 1.523 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 1.523 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.523 * [taylor]: Taking taylor expansion of -2.0 in n 1.523 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.523 * [taylor]: Taking taylor expansion of PI in n 1.523 * [taylor]: Taking taylor expansion of n in n 1.524 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 1.524 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 1.524 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 1.524 * [taylor]: Taking taylor expansion of 0.5 in n 1.524 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 1.524 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 1.524 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in n 1.524 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in n 1.524 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in n 1.524 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in n 1.524 * [taylor]: Taking taylor expansion of 1.0 in n 1.524 * [taylor]: Taking taylor expansion of (log -2.0) in n 1.524 * [taylor]: Taking taylor expansion of -2.0 in n 1.524 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 1.524 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 1.524 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 1.524 * [taylor]: Taking taylor expansion of 1.0 in n 1.524 * [taylor]: Taking taylor expansion of (log PI) in n 1.524 * [taylor]: Taking taylor expansion of PI in n 1.524 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 1.524 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 1.524 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 1.524 * [taylor]: Taking taylor expansion of 1.0 in n 1.524 * [taylor]: Taking taylor expansion of (log n) in n 1.524 * [taylor]: Taking taylor expansion of n in n 1.526 * [taylor]: Taking taylor expansion of (* (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0)) 0.5) (/ (pow (sqrt 1.0) 2) (* (exp (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k))) (sqrt (/ -1 k))))) in k 1.526 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0)) 0.5) in k 1.526 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0))))) in k 1.526 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0)))) in k 1.526 * [taylor]: Taking taylor expansion of 0.5 in k 1.526 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0))) in k 1.526 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0)) in k 1.526 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in k 1.526 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in k 1.526 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in k 1.526 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in k 1.526 * [taylor]: Taking taylor expansion of 1.0 in k 1.526 * [taylor]: Taking taylor expansion of (log -2.0) in k 1.526 * [taylor]: Taking taylor expansion of -2.0 in k 1.526 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 1.526 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 1.526 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 1.526 * [taylor]: Taking taylor expansion of 1.0 in k 1.526 * [taylor]: Taking taylor expansion of (log PI) in k 1.526 * [taylor]: Taking taylor expansion of PI in k 1.526 * [taylor]: Taking taylor expansion of (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) in k 1.526 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log (exp (* 1.0 (+ (log 1) (log n))))))) in k 1.526 * [taylor]: Taking taylor expansion of (* 1.0 (log (exp (* 1.0 (+ (log 1) (log n)))))) in k 1.526 * [taylor]: Taking taylor expansion of 1.0 in k 1.526 * [taylor]: Taking taylor expansion of (log (exp (* 1.0 (+ (log 1) (log n))))) in k 1.526 * [taylor]: Taking taylor expansion of (exp (* 1.0 (+ (log 1) (log n)))) in k 1.526 * [taylor]: Taking taylor expansion of (* 1.0 (+ (log 1) (log n))) in k 1.526 * [taylor]: Taking taylor expansion of 1.0 in k 1.526 * [taylor]: Taking taylor expansion of (+ (log 1) (log n)) in k 1.526 * [taylor]: Taking taylor expansion of (log 1) in k 1.526 * [taylor]: Taking taylor expansion of 1 in k 1.526 * [taylor]: Taking taylor expansion of (log n) in k 1.526 * [taylor]: Taking taylor expansion of n in k 1.527 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 1.0) 2) (* (exp (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k))) (sqrt (/ -1 k)))) in k 1.527 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in k 1.527 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k 1.527 * [taylor]: Taking taylor expansion of 1.0 in k 1.527 * [taylor]: Taking taylor expansion of (* (exp (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k))) (sqrt (/ -1 k))) in k 1.528 * [taylor]: Taking taylor expansion of (exp (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k))) in k 1.528 * [taylor]: Taking taylor expansion of (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k)) in k 1.528 * [taylor]: Taking taylor expansion of -0.5 in k 1.528 * [taylor]: Taking taylor expansion of (/ (- (log (* -2.0 PI)) (log n)) k) in k 1.528 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 1.528 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 1.528 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 1.528 * [taylor]: Taking taylor expansion of -2.0 in k 1.528 * [taylor]: Taking taylor expansion of PI in k 1.528 * [taylor]: Taking taylor expansion of (log n) in k 1.528 * [taylor]: Taking taylor expansion of n in k 1.528 * [taylor]: Taking taylor expansion of k in k 1.528 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 1.528 * [taylor]: Taking taylor expansion of (/ -1 k) in k 1.528 * [taylor]: Taking taylor expansion of -1 in k 1.528 * [taylor]: Taking taylor expansion of k in k 1.532 * [taylor]: Taking taylor expansion of 0 in k 1.541 * [taylor]: Taking taylor expansion of 0 in k 1.551 * [taylor]: Taking taylor expansion of 0 in k 1.553 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1) 1.553 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k)))))) in (n k) around 0 1.553 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k)))))) in k 1.553 * [taylor]: Taking taylor expansion of 1.0 in k 1.553 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))))) in k 1.553 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 1.553 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.553 * [taylor]: Taking taylor expansion of k in k 1.553 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k)))) in k 1.553 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in k 1.553 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in k 1.553 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in k 1.553 * [taylor]: Taking taylor expansion of 0.5 in k 1.553 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in k 1.553 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in k 1.553 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 1.553 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 1.553 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 1.553 * [taylor]: Taking taylor expansion of 1.0 in k 1.553 * [taylor]: Taking taylor expansion of (log 2.0) in k 1.553 * [taylor]: Taking taylor expansion of 2.0 in k 1.553 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in k 1.553 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 1.553 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 1.553 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 1.553 * [taylor]: Taking taylor expansion of 1.0 in k 1.553 * [taylor]: Taking taylor expansion of (log n) in k 1.553 * [taylor]: Taking taylor expansion of n in k 1.554 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 1.554 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 1.554 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 1.554 * [taylor]: Taking taylor expansion of 1.0 in k 1.554 * [taylor]: Taking taylor expansion of (log PI) in k 1.554 * [taylor]: Taking taylor expansion of PI in k 1.554 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))) in k 1.554 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 k)) in k 1.555 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 k) (log (* 2.0 (* n PI))))) in k 1.555 * [taylor]: Taking taylor expansion of (* (* 0.5 k) (log (* 2.0 (* n PI)))) in k 1.555 * [taylor]: Taking taylor expansion of (* 0.5 k) in k 1.555 * [taylor]: Taking taylor expansion of 0.5 in k 1.555 * [taylor]: Taking taylor expansion of k in k 1.555 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 1.555 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 1.555 * [taylor]: Taking taylor expansion of 2.0 in k 1.555 * [taylor]: Taking taylor expansion of (* n PI) in k 1.555 * [taylor]: Taking taylor expansion of n in k 1.555 * [taylor]: Taking taylor expansion of PI in k 1.555 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k)))))) in n 1.555 * [taylor]: Taking taylor expansion of 1.0 in n 1.555 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))))) in n 1.555 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 1.555 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.555 * [taylor]: Taking taylor expansion of k in n 1.555 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k)))) in n 1.555 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 1.555 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 1.555 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 1.555 * [taylor]: Taking taylor expansion of 0.5 in n 1.555 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 1.555 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 1.555 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 1.555 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 1.555 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 1.555 * [taylor]: Taking taylor expansion of 1.0 in n 1.555 * [taylor]: Taking taylor expansion of (log 2.0) in n 1.556 * [taylor]: Taking taylor expansion of 2.0 in n 1.556 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 1.556 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 1.556 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 1.556 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 1.556 * [taylor]: Taking taylor expansion of 1.0 in n 1.556 * [taylor]: Taking taylor expansion of (log n) in n 1.556 * [taylor]: Taking taylor expansion of n in n 1.556 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 1.556 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 1.556 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 1.556 * [taylor]: Taking taylor expansion of 1.0 in n 1.556 * [taylor]: Taking taylor expansion of (log PI) in n 1.556 * [taylor]: Taking taylor expansion of PI in n 1.557 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))) in n 1.557 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 k)) in n 1.557 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 k) (log (* 2.0 (* n PI))))) in n 1.557 * [taylor]: Taking taylor expansion of (* (* 0.5 k) (log (* 2.0 (* n PI)))) in n 1.557 * [taylor]: Taking taylor expansion of (* 0.5 k) in n 1.557 * [taylor]: Taking taylor expansion of 0.5 in n 1.557 * [taylor]: Taking taylor expansion of k in n 1.557 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 1.557 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.557 * [taylor]: Taking taylor expansion of 2.0 in n 1.557 * [taylor]: Taking taylor expansion of (* n PI) in n 1.557 * [taylor]: Taking taylor expansion of n in n 1.557 * [taylor]: Taking taylor expansion of PI in n 1.557 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k)))))) in n 1.557 * [taylor]: Taking taylor expansion of 1.0 in n 1.557 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))))) in n 1.557 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 1.557 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.557 * [taylor]: Taking taylor expansion of k in n 1.558 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k)))) in n 1.558 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 1.558 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 1.558 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 1.558 * [taylor]: Taking taylor expansion of 0.5 in n 1.558 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 1.558 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 1.558 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 1.558 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 1.558 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 1.558 * [taylor]: Taking taylor expansion of 1.0 in n 1.558 * [taylor]: Taking taylor expansion of (log 2.0) in n 1.558 * [taylor]: Taking taylor expansion of 2.0 in n 1.558 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 1.558 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 1.558 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 1.558 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 1.558 * [taylor]: Taking taylor expansion of 1.0 in n 1.558 * [taylor]: Taking taylor expansion of (log n) in n 1.558 * [taylor]: Taking taylor expansion of n in n 1.558 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 1.558 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 1.558 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 1.558 * [taylor]: Taking taylor expansion of 1.0 in n 1.558 * [taylor]: Taking taylor expansion of (log PI) in n 1.558 * [taylor]: Taking taylor expansion of PI in n 1.559 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))) in n 1.559 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 k)) in n 1.559 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 k) (log (* 2.0 (* n PI))))) in n 1.559 * [taylor]: Taking taylor expansion of (* (* 0.5 k) (log (* 2.0 (* n PI)))) in n 1.559 * [taylor]: Taking taylor expansion of (* 0.5 k) in n 1.559 * [taylor]: Taking taylor expansion of 0.5 in n 1.559 * [taylor]: Taking taylor expansion of k in n 1.559 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 1.559 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.559 * [taylor]: Taking taylor expansion of 2.0 in n 1.559 * [taylor]: Taking taylor expansion of (* n PI) in n 1.559 * [taylor]: Taking taylor expansion of n in n 1.559 * [taylor]: Taking taylor expansion of PI in n 1.561 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (* (/ 1 (exp (* 0.5 (* k (+ (log (* 2.0 PI)) (log n)))))) (pow (* (pow PI 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow 2.0 1.0))) 0.5)))) in k 1.561 * [taylor]: Taking taylor expansion of 1.0 in k 1.561 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (/ 1 (exp (* 0.5 (* k (+ (log (* 2.0 PI)) (log n)))))) (pow (* (pow PI 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow 2.0 1.0))) 0.5))) in k 1.561 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 1.561 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.561 * [taylor]: Taking taylor expansion of k in k 1.561 * [taylor]: Taking taylor expansion of (* (/ 1 (exp (* 0.5 (* k (+ (log (* 2.0 PI)) (log n)))))) (pow (* (pow PI 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow 2.0 1.0))) 0.5)) in k 1.561 * [taylor]: Taking taylor expansion of (/ 1 (exp (* 0.5 (* k (+ (log (* 2.0 PI)) (log n)))))) in k 1.561 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* k (+ (log (* 2.0 PI)) (log n))))) in k 1.561 * [taylor]: Taking taylor expansion of (* 0.5 (* k (+ (log (* 2.0 PI)) (log n)))) in k 1.561 * [taylor]: Taking taylor expansion of 0.5 in k 1.561 * [taylor]: Taking taylor expansion of (* k (+ (log (* 2.0 PI)) (log n))) in k 1.561 * [taylor]: Taking taylor expansion of k in k 1.561 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 1.561 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 1.561 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 1.561 * [taylor]: Taking taylor expansion of 2.0 in k 1.561 * [taylor]: Taking taylor expansion of PI in k 1.561 * [taylor]: Taking taylor expansion of (log n) in k 1.561 * [taylor]: Taking taylor expansion of n in k 1.561 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow 2.0 1.0))) 0.5) in k 1.561 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow 2.0 1.0)))))) in k 1.562 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow 2.0 1.0))))) in k 1.562 * [taylor]: Taking taylor expansion of 0.5 in k 1.562 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow 2.0 1.0)))) in k 1.562 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow 2.0 1.0))) in k 1.562 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 1.562 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 1.562 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 1.562 * [taylor]: Taking taylor expansion of 1.0 in k 1.562 * [taylor]: Taking taylor expansion of (log PI) in k 1.562 * [taylor]: Taking taylor expansion of PI in k 1.562 * [taylor]: Taking taylor expansion of (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow 2.0 1.0)) in k 1.562 * [taylor]: Taking taylor expansion of (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) in k 1.562 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log (exp (* 1.0 (+ (log 1) (log n))))))) in k 1.562 * [taylor]: Taking taylor expansion of (* 1.0 (log (exp (* 1.0 (+ (log 1) (log n)))))) in k 1.562 * [taylor]: Taking taylor expansion of 1.0 in k 1.562 * [taylor]: Taking taylor expansion of (log (exp (* 1.0 (+ (log 1) (log n))))) in k 1.562 * [taylor]: Taking taylor expansion of (exp (* 1.0 (+ (log 1) (log n)))) in k 1.562 * [taylor]: Taking taylor expansion of (* 1.0 (+ (log 1) (log n))) in k 1.562 * [taylor]: Taking taylor expansion of 1.0 in k 1.562 * [taylor]: Taking taylor expansion of (+ (log 1) (log n)) in k 1.562 * [taylor]: Taking taylor expansion of (log 1) in k 1.562 * [taylor]: Taking taylor expansion of 1 in k 1.562 * [taylor]: Taking taylor expansion of (log n) in k 1.562 * [taylor]: Taking taylor expansion of n in k 1.562 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 1.562 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 1.563 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 1.563 * [taylor]: Taking taylor expansion of 1.0 in k 1.563 * [taylor]: Taking taylor expansion of (log 2.0) in k 1.563 * [taylor]: Taking taylor expansion of 2.0 in k 1.567 * [taylor]: Taking taylor expansion of 0 in k 1.575 * [taylor]: Taking taylor expansion of 0 in k 1.590 * [taylor]: Taking taylor expansion of 0 in k 1.617 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt k) (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k)))))) in (n k) around 0 1.617 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k)))))) in k 1.617 * [taylor]: Taking taylor expansion of 1.0 in k 1.617 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))))) in k 1.617 * [taylor]: Taking taylor expansion of (sqrt k) in k 1.617 * [taylor]: Taking taylor expansion of k in k 1.617 * [taylor]: Taking taylor expansion of (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k)))) in k 1.617 * [taylor]: Taking taylor expansion of (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in k 1.617 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in k 1.617 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in k 1.617 * [taylor]: Taking taylor expansion of 0.5 in k 1.617 * [taylor]: Taking taylor expansion of (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in k 1.617 * [taylor]: Taking taylor expansion of (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in k 1.617 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow PI 1.0)) in k 1.617 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 1.617 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 1.617 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 1.617 * [taylor]: Taking taylor expansion of 1.0 in k 1.617 * [taylor]: Taking taylor expansion of (log 2.0) in k 1.617 * [taylor]: Taking taylor expansion of 2.0 in k 1.617 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 1.617 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 1.617 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 1.617 * [taylor]: Taking taylor expansion of 1.0 in k 1.617 * [taylor]: Taking taylor expansion of (log PI) in k 1.617 * [taylor]: Taking taylor expansion of PI in k 1.617 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 1.618 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 1.618 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 1.618 * [taylor]: Taking taylor expansion of 1.0 in k 1.618 * [taylor]: Taking taylor expansion of (log n) in k 1.618 * [taylor]: Taking taylor expansion of n in k 1.618 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))) in k 1.618 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (/ 0.5 k)) in k 1.619 * [taylor]: Taking taylor expansion of (exp (* (/ 0.5 k) (log (* 2.0 (/ PI n))))) in k 1.619 * [taylor]: Taking taylor expansion of (* (/ 0.5 k) (log (* 2.0 (/ PI n)))) in k 1.619 * [taylor]: Taking taylor expansion of (/ 0.5 k) in k 1.619 * [taylor]: Taking taylor expansion of 0.5 in k 1.619 * [taylor]: Taking taylor expansion of k in k 1.619 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 1.619 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 1.619 * [taylor]: Taking taylor expansion of 2.0 in k 1.619 * [taylor]: Taking taylor expansion of (/ PI n) in k 1.619 * [taylor]: Taking taylor expansion of PI in k 1.619 * [taylor]: Taking taylor expansion of n in k 1.619 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k)))))) in n 1.619 * [taylor]: Taking taylor expansion of 1.0 in n 1.619 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))))) in n 1.619 * [taylor]: Taking taylor expansion of (sqrt k) in n 1.619 * [taylor]: Taking taylor expansion of k in n 1.619 * [taylor]: Taking taylor expansion of (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k)))) in n 1.619 * [taylor]: Taking taylor expansion of (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 1.619 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 1.619 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 1.619 * [taylor]: Taking taylor expansion of 0.5 in n 1.619 * [taylor]: Taking taylor expansion of (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 1.619 * [taylor]: Taking taylor expansion of (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 1.619 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow PI 1.0)) in n 1.619 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 1.619 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 1.619 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 1.619 * [taylor]: Taking taylor expansion of 1.0 in n 1.619 * [taylor]: Taking taylor expansion of (log 2.0) in n 1.619 * [taylor]: Taking taylor expansion of 2.0 in n 1.619 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 1.619 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 1.619 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 1.619 * [taylor]: Taking taylor expansion of 1.0 in n 1.619 * [taylor]: Taking taylor expansion of (log PI) in n 1.619 * [taylor]: Taking taylor expansion of PI in n 1.620 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 1.620 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 1.620 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 1.620 * [taylor]: Taking taylor expansion of 1.0 in n 1.620 * [taylor]: Taking taylor expansion of (log n) in n 1.620 * [taylor]: Taking taylor expansion of n in n 1.621 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))) in n 1.621 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (/ 0.5 k)) in n 1.621 * [taylor]: Taking taylor expansion of (exp (* (/ 0.5 k) (log (* 2.0 (/ PI n))))) in n 1.621 * [taylor]: Taking taylor expansion of (* (/ 0.5 k) (log (* 2.0 (/ PI n)))) in n 1.621 * [taylor]: Taking taylor expansion of (/ 0.5 k) in n 1.621 * [taylor]: Taking taylor expansion of 0.5 in n 1.621 * [taylor]: Taking taylor expansion of k in n 1.621 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 1.621 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.621 * [taylor]: Taking taylor expansion of 2.0 in n 1.621 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.621 * [taylor]: Taking taylor expansion of PI in n 1.621 * [taylor]: Taking taylor expansion of n in n 1.621 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k)))))) in n 1.621 * [taylor]: Taking taylor expansion of 1.0 in n 1.621 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))))) in n 1.621 * [taylor]: Taking taylor expansion of (sqrt k) in n 1.621 * [taylor]: Taking taylor expansion of k in n 1.621 * [taylor]: Taking taylor expansion of (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k)))) in n 1.621 * [taylor]: Taking taylor expansion of (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 1.621 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 1.621 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 1.621 * [taylor]: Taking taylor expansion of 0.5 in n 1.621 * [taylor]: Taking taylor expansion of (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 1.621 * [taylor]: Taking taylor expansion of (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 1.621 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow PI 1.0)) in n 1.621 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 1.621 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 1.621 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 1.621 * [taylor]: Taking taylor expansion of 1.0 in n 1.621 * [taylor]: Taking taylor expansion of (log 2.0) in n 1.621 * [taylor]: Taking taylor expansion of 2.0 in n 1.622 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 1.622 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 1.622 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 1.622 * [taylor]: Taking taylor expansion of 1.0 in n 1.622 * [taylor]: Taking taylor expansion of (log PI) in n 1.622 * [taylor]: Taking taylor expansion of PI in n 1.622 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 1.622 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 1.622 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 1.622 * [taylor]: Taking taylor expansion of 1.0 in n 1.622 * [taylor]: Taking taylor expansion of (log n) in n 1.622 * [taylor]: Taking taylor expansion of n in n 1.623 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))) in n 1.623 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (/ 0.5 k)) in n 1.623 * [taylor]: Taking taylor expansion of (exp (* (/ 0.5 k) (log (* 2.0 (/ PI n))))) in n 1.623 * [taylor]: Taking taylor expansion of (* (/ 0.5 k) (log (* 2.0 (/ PI n)))) in n 1.623 * [taylor]: Taking taylor expansion of (/ 0.5 k) in n 1.623 * [taylor]: Taking taylor expansion of 0.5 in n 1.623 * [taylor]: Taking taylor expansion of k in n 1.623 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 1.623 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.623 * [taylor]: Taking taylor expansion of 2.0 in n 1.623 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.623 * [taylor]: Taking taylor expansion of PI in n 1.623 * [taylor]: Taking taylor expansion of n in n 1.624 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (* (/ 1 (exp (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k)))) (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0)) 0.5)))) in k 1.624 * [taylor]: Taking taylor expansion of 1.0 in k 1.624 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (/ 1 (exp (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k)))) (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0)) 0.5))) in k 1.624 * [taylor]: Taking taylor expansion of (sqrt k) in k 1.624 * [taylor]: Taking taylor expansion of k in k 1.625 * [taylor]: Taking taylor expansion of (* (/ 1 (exp (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k)))) (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0)) 0.5)) in k 1.625 * [taylor]: Taking taylor expansion of (/ 1 (exp (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k)))) in k 1.625 * [taylor]: Taking taylor expansion of (exp (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k))) in k 1.625 * [taylor]: Taking taylor expansion of (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k)) in k 1.625 * [taylor]: Taking taylor expansion of 0.5 in k 1.625 * [taylor]: Taking taylor expansion of (/ (- (log (* 2.0 PI)) (log n)) k) in k 1.625 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 1.625 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 1.625 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 1.625 * [taylor]: Taking taylor expansion of 2.0 in k 1.625 * [taylor]: Taking taylor expansion of PI in k 1.625 * [taylor]: Taking taylor expansion of (log n) in k 1.625 * [taylor]: Taking taylor expansion of n in k 1.625 * [taylor]: Taking taylor expansion of k in k 1.625 * [taylor]: Taking taylor expansion of (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0)) 0.5) in k 1.625 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0))))) in k 1.625 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0)))) in k 1.625 * [taylor]: Taking taylor expansion of 0.5 in k 1.625 * [taylor]: Taking taylor expansion of (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0))) in k 1.625 * [taylor]: Taking taylor expansion of (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0)) in k 1.625 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow 2.0 1.0)) in k 1.625 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 1.625 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 1.625 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 1.625 * [taylor]: Taking taylor expansion of 1.0 in k 1.625 * [taylor]: Taking taylor expansion of (log PI) in k 1.625 * [taylor]: Taking taylor expansion of PI in k 1.625 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 1.625 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 1.625 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 1.625 * [taylor]: Taking taylor expansion of 1.0 in k 1.625 * [taylor]: Taking taylor expansion of (log 2.0) in k 1.626 * [taylor]: Taking taylor expansion of 2.0 in k 1.626 * [taylor]: Taking taylor expansion of (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) in k 1.626 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log (exp (* 1.0 (+ (log 1) (log n))))))) in k 1.626 * [taylor]: Taking taylor expansion of (* 1.0 (log (exp (* 1.0 (+ (log 1) (log n)))))) in k 1.626 * [taylor]: Taking taylor expansion of 1.0 in k 1.626 * [taylor]: Taking taylor expansion of (log (exp (* 1.0 (+ (log 1) (log n))))) in k 1.626 * [taylor]: Taking taylor expansion of (exp (* 1.0 (+ (log 1) (log n)))) in k 1.626 * [taylor]: Taking taylor expansion of (* 1.0 (+ (log 1) (log n))) in k 1.626 * [taylor]: Taking taylor expansion of 1.0 in k 1.626 * [taylor]: Taking taylor expansion of (+ (log 1) (log n)) in k 1.626 * [taylor]: Taking taylor expansion of (log 1) in k 1.626 * [taylor]: Taking taylor expansion of 1 in k 1.626 * [taylor]: Taking taylor expansion of (log n) in k 1.626 * [taylor]: Taking taylor expansion of n in k 1.631 * [taylor]: Taking taylor expansion of 0 in k 1.639 * [taylor]: Taking taylor expansion of 0 in k 1.651 * [taylor]: Taking taylor expansion of 0 in k 1.660 * [approximate]: Taking taylor expansion of (* 1.0 (* (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5))) in (n k) around 0 1.660 * [taylor]: Taking taylor expansion of (* 1.0 (* (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5))) in k 1.660 * [taylor]: Taking taylor expansion of 1.0 in k 1.660 * [taylor]: Taking taylor expansion of (* (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5)) in k 1.660 * [taylor]: Taking taylor expansion of (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) in k 1.660 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k))) in k 1.660 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 1.660 * [taylor]: Taking taylor expansion of (/ -1 k) in k 1.660 * [taylor]: Taking taylor expansion of -1 in k 1.661 * [taylor]: Taking taylor expansion of k in k 1.661 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (/ -0.5 k)) in k 1.661 * [taylor]: Taking taylor expansion of (exp (* (/ -0.5 k) (log (* -2.0 (/ PI n))))) in k 1.661 * [taylor]: Taking taylor expansion of (* (/ -0.5 k) (log (* -2.0 (/ PI n)))) in k 1.661 * [taylor]: Taking taylor expansion of (/ -0.5 k) in k 1.661 * [taylor]: Taking taylor expansion of -0.5 in k 1.661 * [taylor]: Taking taylor expansion of k in k 1.661 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 1.661 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 1.661 * [taylor]: Taking taylor expansion of -2.0 in k 1.661 * [taylor]: Taking taylor expansion of (/ PI n) in k 1.661 * [taylor]: Taking taylor expansion of PI in k 1.661 * [taylor]: Taking taylor expansion of n in k 1.661 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in k 1.661 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in k 1.661 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in k 1.661 * [taylor]: Taking taylor expansion of 0.5 in k 1.661 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in k 1.661 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in k 1.661 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in k 1.661 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in k 1.661 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in k 1.661 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in k 1.661 * [taylor]: Taking taylor expansion of 1.0 in k 1.661 * [taylor]: Taking taylor expansion of (log -2.0) in k 1.661 * [taylor]: Taking taylor expansion of -2.0 in k 1.661 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 1.661 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 1.662 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 1.662 * [taylor]: Taking taylor expansion of 1.0 in k 1.662 * [taylor]: Taking taylor expansion of (log PI) in k 1.662 * [taylor]: Taking taylor expansion of PI in k 1.662 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 1.662 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 1.662 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 1.662 * [taylor]: Taking taylor expansion of 1.0 in k 1.662 * [taylor]: Taking taylor expansion of (log n) in k 1.662 * [taylor]: Taking taylor expansion of n in k 1.663 * [taylor]: Taking taylor expansion of (* 1.0 (* (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5))) in n 1.663 * [taylor]: Taking taylor expansion of 1.0 in n 1.663 * [taylor]: Taking taylor expansion of (* (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5)) in n 1.663 * [taylor]: Taking taylor expansion of (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) in n 1.663 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k))) in n 1.663 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 1.663 * [taylor]: Taking taylor expansion of (/ -1 k) in n 1.663 * [taylor]: Taking taylor expansion of -1 in n 1.663 * [taylor]: Taking taylor expansion of k in n 1.663 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (/ -0.5 k)) in n 1.663 * [taylor]: Taking taylor expansion of (exp (* (/ -0.5 k) (log (* -2.0 (/ PI n))))) in n 1.663 * [taylor]: Taking taylor expansion of (* (/ -0.5 k) (log (* -2.0 (/ PI n)))) in n 1.663 * [taylor]: Taking taylor expansion of (/ -0.5 k) in n 1.663 * [taylor]: Taking taylor expansion of -0.5 in n 1.663 * [taylor]: Taking taylor expansion of k in n 1.663 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 1.663 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.663 * [taylor]: Taking taylor expansion of -2.0 in n 1.663 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.663 * [taylor]: Taking taylor expansion of PI in n 1.663 * [taylor]: Taking taylor expansion of n in n 1.664 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 1.664 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 1.664 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 1.664 * [taylor]: Taking taylor expansion of 0.5 in n 1.664 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 1.664 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 1.664 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in n 1.664 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in n 1.664 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in n 1.664 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in n 1.664 * [taylor]: Taking taylor expansion of 1.0 in n 1.664 * [taylor]: Taking taylor expansion of (log -2.0) in n 1.664 * [taylor]: Taking taylor expansion of -2.0 in n 1.664 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 1.664 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 1.664 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 1.664 * [taylor]: Taking taylor expansion of 1.0 in n 1.664 * [taylor]: Taking taylor expansion of (log PI) in n 1.664 * [taylor]: Taking taylor expansion of PI in n 1.664 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 1.664 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 1.664 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 1.664 * [taylor]: Taking taylor expansion of 1.0 in n 1.664 * [taylor]: Taking taylor expansion of (log n) in n 1.664 * [taylor]: Taking taylor expansion of n in n 1.665 * [taylor]: Taking taylor expansion of (* 1.0 (* (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5))) in n 1.665 * [taylor]: Taking taylor expansion of 1.0 in n 1.665 * [taylor]: Taking taylor expansion of (* (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5)) in n 1.665 * [taylor]: Taking taylor expansion of (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) in n 1.665 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k))) in n 1.665 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 1.665 * [taylor]: Taking taylor expansion of (/ -1 k) in n 1.665 * [taylor]: Taking taylor expansion of -1 in n 1.665 * [taylor]: Taking taylor expansion of k in n 1.665 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (/ -0.5 k)) in n 1.666 * [taylor]: Taking taylor expansion of (exp (* (/ -0.5 k) (log (* -2.0 (/ PI n))))) in n 1.666 * [taylor]: Taking taylor expansion of (* (/ -0.5 k) (log (* -2.0 (/ PI n)))) in n 1.666 * [taylor]: Taking taylor expansion of (/ -0.5 k) in n 1.666 * [taylor]: Taking taylor expansion of -0.5 in n 1.666 * [taylor]: Taking taylor expansion of k in n 1.666 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 1.666 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.666 * [taylor]: Taking taylor expansion of -2.0 in n 1.666 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.666 * [taylor]: Taking taylor expansion of PI in n 1.666 * [taylor]: Taking taylor expansion of n in n 1.666 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 1.666 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 1.666 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 1.666 * [taylor]: Taking taylor expansion of 0.5 in n 1.666 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 1.666 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 1.666 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in n 1.666 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in n 1.666 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in n 1.666 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in n 1.666 * [taylor]: Taking taylor expansion of 1.0 in n 1.666 * [taylor]: Taking taylor expansion of (log -2.0) in n 1.666 * [taylor]: Taking taylor expansion of -2.0 in n 1.666 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 1.666 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 1.666 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 1.666 * [taylor]: Taking taylor expansion of 1.0 in n 1.666 * [taylor]: Taking taylor expansion of (log PI) in n 1.666 * [taylor]: Taking taylor expansion of PI in n 1.667 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 1.667 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 1.667 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 1.667 * [taylor]: Taking taylor expansion of 1.0 in n 1.667 * [taylor]: Taking taylor expansion of (log n) in n 1.667 * [taylor]: Taking taylor expansion of n in n 1.668 * [taylor]: Taking taylor expansion of (* 1.0 (* (/ 1 (* (exp (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k))) (sqrt (/ -1 k)))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0)) 0.5))) in k 1.668 * [taylor]: Taking taylor expansion of 1.0 in k 1.668 * [taylor]: Taking taylor expansion of (* (/ 1 (* (exp (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k))) (sqrt (/ -1 k)))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0)) 0.5)) in k 1.668 * [taylor]: Taking taylor expansion of (/ 1 (* (exp (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k))) (sqrt (/ -1 k)))) in k 1.668 * [taylor]: Taking taylor expansion of (* (exp (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k))) (sqrt (/ -1 k))) in k 1.668 * [taylor]: Taking taylor expansion of (exp (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k))) in k 1.668 * [taylor]: Taking taylor expansion of (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k)) in k 1.668 * [taylor]: Taking taylor expansion of -0.5 in k 1.668 * [taylor]: Taking taylor expansion of (/ (- (log (* -2.0 PI)) (log n)) k) in k 1.668 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 1.668 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 1.668 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 1.669 * [taylor]: Taking taylor expansion of -2.0 in k 1.669 * [taylor]: Taking taylor expansion of PI in k 1.669 * [taylor]: Taking taylor expansion of (log n) in k 1.669 * [taylor]: Taking taylor expansion of n in k 1.669 * [taylor]: Taking taylor expansion of k in k 1.669 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 1.669 * [taylor]: Taking taylor expansion of (/ -1 k) in k 1.669 * [taylor]: Taking taylor expansion of -1 in k 1.669 * [taylor]: Taking taylor expansion of k in k 1.669 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0)) 0.5) in k 1.669 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0))))) in k 1.669 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0)))) in k 1.669 * [taylor]: Taking taylor expansion of 0.5 in k 1.669 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0))) in k 1.669 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0)) in k 1.669 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in k 1.669 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in k 1.669 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in k 1.669 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in k 1.669 * [taylor]: Taking taylor expansion of 1.0 in k 1.669 * [taylor]: Taking taylor expansion of (log -2.0) in k 1.669 * [taylor]: Taking taylor expansion of -2.0 in k 1.669 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 1.670 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 1.670 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 1.670 * [taylor]: Taking taylor expansion of 1.0 in k 1.670 * [taylor]: Taking taylor expansion of (log PI) in k 1.670 * [taylor]: Taking taylor expansion of PI in k 1.670 * [taylor]: Taking taylor expansion of (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) in k 1.670 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log (exp (* 1.0 (+ (log 1) (log n))))))) in k 1.670 * [taylor]: Taking taylor expansion of (* 1.0 (log (exp (* 1.0 (+ (log 1) (log n)))))) in k 1.670 * [taylor]: Taking taylor expansion of 1.0 in k 1.670 * [taylor]: Taking taylor expansion of (log (exp (* 1.0 (+ (log 1) (log n))))) in k 1.670 * [taylor]: Taking taylor expansion of (exp (* 1.0 (+ (log 1) (log n)))) in k 1.670 * [taylor]: Taking taylor expansion of (* 1.0 (+ (log 1) (log n))) in k 1.670 * [taylor]: Taking taylor expansion of 1.0 in k 1.670 * [taylor]: Taking taylor expansion of (+ (log 1) (log n)) in k 1.670 * [taylor]: Taking taylor expansion of (log 1) in k 1.670 * [taylor]: Taking taylor expansion of 1 in k 1.670 * [taylor]: Taking taylor expansion of (log n) in k 1.670 * [taylor]: Taking taylor expansion of n in k 1.675 * [taylor]: Taking taylor expansion of 0 in k 1.684 * [taylor]: Taking taylor expansion of 0 in k 1.695 * [taylor]: Taking taylor expansion of 0 in k 1.696 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1) 1.697 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k)))))) in (n k) around 0 1.697 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k)))))) in k 1.697 * [taylor]: Taking taylor expansion of 1.0 in k 1.697 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))))) in k 1.697 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 1.697 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.697 * [taylor]: Taking taylor expansion of k in k 1.697 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k)))) in k 1.697 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in k 1.697 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in k 1.697 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in k 1.697 * [taylor]: Taking taylor expansion of 0.5 in k 1.697 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in k 1.697 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in k 1.697 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 1.697 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 1.697 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 1.697 * [taylor]: Taking taylor expansion of 1.0 in k 1.697 * [taylor]: Taking taylor expansion of (log 2.0) in k 1.697 * [taylor]: Taking taylor expansion of 2.0 in k 1.697 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in k 1.697 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 1.697 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 1.697 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 1.697 * [taylor]: Taking taylor expansion of 1.0 in k 1.697 * [taylor]: Taking taylor expansion of (log n) in k 1.697 * [taylor]: Taking taylor expansion of n in k 1.697 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 1.697 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 1.697 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 1.697 * [taylor]: Taking taylor expansion of 1.0 in k 1.697 * [taylor]: Taking taylor expansion of (log PI) in k 1.697 * [taylor]: Taking taylor expansion of PI in k 1.698 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))) in k 1.698 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 k)) in k 1.698 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 k) (log (* 2.0 (* n PI))))) in k 1.698 * [taylor]: Taking taylor expansion of (* (* 0.5 k) (log (* 2.0 (* n PI)))) in k 1.698 * [taylor]: Taking taylor expansion of (* 0.5 k) in k 1.698 * [taylor]: Taking taylor expansion of 0.5 in k 1.698 * [taylor]: Taking taylor expansion of k in k 1.698 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 1.698 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 1.698 * [taylor]: Taking taylor expansion of 2.0 in k 1.698 * [taylor]: Taking taylor expansion of (* n PI) in k 1.698 * [taylor]: Taking taylor expansion of n in k 1.699 * [taylor]: Taking taylor expansion of PI in k 1.699 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k)))))) in n 1.699 * [taylor]: Taking taylor expansion of 1.0 in n 1.699 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))))) in n 1.699 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 1.699 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.699 * [taylor]: Taking taylor expansion of k in n 1.699 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k)))) in n 1.699 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 1.699 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 1.699 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 1.699 * [taylor]: Taking taylor expansion of 0.5 in n 1.699 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 1.699 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 1.699 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 1.699 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 1.699 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 1.699 * [taylor]: Taking taylor expansion of 1.0 in n 1.699 * [taylor]: Taking taylor expansion of (log 2.0) in n 1.699 * [taylor]: Taking taylor expansion of 2.0 in n 1.699 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 1.699 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 1.699 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 1.699 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 1.699 * [taylor]: Taking taylor expansion of 1.0 in n 1.699 * [taylor]: Taking taylor expansion of (log n) in n 1.700 * [taylor]: Taking taylor expansion of n in n 1.700 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 1.700 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 1.700 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 1.700 * [taylor]: Taking taylor expansion of 1.0 in n 1.700 * [taylor]: Taking taylor expansion of (log PI) in n 1.700 * [taylor]: Taking taylor expansion of PI in n 1.701 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))) in n 1.701 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 k)) in n 1.701 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 k) (log (* 2.0 (* n PI))))) in n 1.701 * [taylor]: Taking taylor expansion of (* (* 0.5 k) (log (* 2.0 (* n PI)))) in n 1.701 * [taylor]: Taking taylor expansion of (* 0.5 k) in n 1.701 * [taylor]: Taking taylor expansion of 0.5 in n 1.701 * [taylor]: Taking taylor expansion of k in n 1.701 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 1.701 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.701 * [taylor]: Taking taylor expansion of 2.0 in n 1.701 * [taylor]: Taking taylor expansion of (* n PI) in n 1.701 * [taylor]: Taking taylor expansion of n in n 1.701 * [taylor]: Taking taylor expansion of PI in n 1.701 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k)))))) in n 1.701 * [taylor]: Taking taylor expansion of 1.0 in n 1.701 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))))) in n 1.701 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 1.701 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.701 * [taylor]: Taking taylor expansion of k in n 1.701 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k)))) in n 1.701 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 1.701 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 1.701 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 1.701 * [taylor]: Taking taylor expansion of 0.5 in n 1.701 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 1.701 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 1.701 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 1.701 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 1.702 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 1.702 * [taylor]: Taking taylor expansion of 1.0 in n 1.702 * [taylor]: Taking taylor expansion of (log 2.0) in n 1.702 * [taylor]: Taking taylor expansion of 2.0 in n 1.702 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 1.702 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 1.702 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 1.702 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 1.702 * [taylor]: Taking taylor expansion of 1.0 in n 1.702 * [taylor]: Taking taylor expansion of (log n) in n 1.702 * [taylor]: Taking taylor expansion of n in n 1.702 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 1.702 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 1.702 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 1.702 * [taylor]: Taking taylor expansion of 1.0 in n 1.702 * [taylor]: Taking taylor expansion of (log PI) in n 1.702 * [taylor]: Taking taylor expansion of PI in n 1.704 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))) in n 1.704 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 k)) in n 1.704 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 k) (log (* 2.0 (* n PI))))) in n 1.704 * [taylor]: Taking taylor expansion of (* (* 0.5 k) (log (* 2.0 (* n PI)))) in n 1.704 * [taylor]: Taking taylor expansion of (* 0.5 k) in n 1.704 * [taylor]: Taking taylor expansion of 0.5 in n 1.704 * [taylor]: Taking taylor expansion of k in n 1.704 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 1.704 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.704 * [taylor]: Taking taylor expansion of 2.0 in n 1.704 * [taylor]: Taking taylor expansion of (* n PI) in n 1.705 * [taylor]: Taking taylor expansion of n in n 1.705 * [taylor]: Taking taylor expansion of PI in n 1.706 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (* (/ 1 (exp (* 0.5 (* k (+ (log (* 2.0 PI)) (log n)))))) (pow (* (pow PI 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow 2.0 1.0))) 0.5)))) in k 1.706 * [taylor]: Taking taylor expansion of 1.0 in k 1.706 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (/ 1 (exp (* 0.5 (* k (+ (log (* 2.0 PI)) (log n)))))) (pow (* (pow PI 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow 2.0 1.0))) 0.5))) in k 1.706 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 1.706 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.706 * [taylor]: Taking taylor expansion of k in k 1.706 * [taylor]: Taking taylor expansion of (* (/ 1 (exp (* 0.5 (* k (+ (log (* 2.0 PI)) (log n)))))) (pow (* (pow PI 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow 2.0 1.0))) 0.5)) in k 1.706 * [taylor]: Taking taylor expansion of (/ 1 (exp (* 0.5 (* k (+ (log (* 2.0 PI)) (log n)))))) in k 1.706 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* k (+ (log (* 2.0 PI)) (log n))))) in k 1.706 * [taylor]: Taking taylor expansion of (* 0.5 (* k (+ (log (* 2.0 PI)) (log n)))) in k 1.706 * [taylor]: Taking taylor expansion of 0.5 in k 1.706 * [taylor]: Taking taylor expansion of (* k (+ (log (* 2.0 PI)) (log n))) in k 1.706 * [taylor]: Taking taylor expansion of k in k 1.706 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 1.706 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 1.706 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 1.706 * [taylor]: Taking taylor expansion of 2.0 in k 1.706 * [taylor]: Taking taylor expansion of PI in k 1.706 * [taylor]: Taking taylor expansion of (log n) in k 1.706 * [taylor]: Taking taylor expansion of n in k 1.707 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow 2.0 1.0))) 0.5) in k 1.707 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow 2.0 1.0)))))) in k 1.707 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow 2.0 1.0))))) in k 1.707 * [taylor]: Taking taylor expansion of 0.5 in k 1.707 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow 2.0 1.0)))) in k 1.707 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow 2.0 1.0))) in k 1.707 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 1.707 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 1.707 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 1.707 * [taylor]: Taking taylor expansion of 1.0 in k 1.707 * [taylor]: Taking taylor expansion of (log PI) in k 1.707 * [taylor]: Taking taylor expansion of PI in k 1.707 * [taylor]: Taking taylor expansion of (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow 2.0 1.0)) in k 1.707 * [taylor]: Taking taylor expansion of (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) in k 1.707 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log (exp (* 1.0 (+ (log 1) (log n))))))) in k 1.707 * [taylor]: Taking taylor expansion of (* 1.0 (log (exp (* 1.0 (+ (log 1) (log n)))))) in k 1.707 * [taylor]: Taking taylor expansion of 1.0 in k 1.707 * [taylor]: Taking taylor expansion of (log (exp (* 1.0 (+ (log 1) (log n))))) in k 1.707 * [taylor]: Taking taylor expansion of (exp (* 1.0 (+ (log 1) (log n)))) in k 1.707 * [taylor]: Taking taylor expansion of (* 1.0 (+ (log 1) (log n))) in k 1.707 * [taylor]: Taking taylor expansion of 1.0 in k 1.707 * [taylor]: Taking taylor expansion of (+ (log 1) (log n)) in k 1.707 * [taylor]: Taking taylor expansion of (log 1) in k 1.707 * [taylor]: Taking taylor expansion of 1 in k 1.707 * [taylor]: Taking taylor expansion of (log n) in k 1.707 * [taylor]: Taking taylor expansion of n in k 1.708 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 1.708 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 1.708 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 1.708 * [taylor]: Taking taylor expansion of 1.0 in k 1.708 * [taylor]: Taking taylor expansion of (log 2.0) in k 1.708 * [taylor]: Taking taylor expansion of 2.0 in k 1.712 * [taylor]: Taking taylor expansion of 0 in k 1.721 * [taylor]: Taking taylor expansion of 0 in k 1.736 * [taylor]: Taking taylor expansion of 0 in k 1.760 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt k) (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k)))))) in (n k) around 0 1.760 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k)))))) in k 1.760 * [taylor]: Taking taylor expansion of 1.0 in k 1.761 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))))) in k 1.761 * [taylor]: Taking taylor expansion of (sqrt k) in k 1.761 * [taylor]: Taking taylor expansion of k in k 1.761 * [taylor]: Taking taylor expansion of (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k)))) in k 1.761 * [taylor]: Taking taylor expansion of (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in k 1.761 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in k 1.761 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in k 1.761 * [taylor]: Taking taylor expansion of 0.5 in k 1.761 * [taylor]: Taking taylor expansion of (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in k 1.761 * [taylor]: Taking taylor expansion of (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in k 1.761 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow PI 1.0)) in k 1.761 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 1.761 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 1.761 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 1.761 * [taylor]: Taking taylor expansion of 1.0 in k 1.761 * [taylor]: Taking taylor expansion of (log 2.0) in k 1.761 * [taylor]: Taking taylor expansion of 2.0 in k 1.761 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 1.761 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 1.761 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 1.761 * [taylor]: Taking taylor expansion of 1.0 in k 1.761 * [taylor]: Taking taylor expansion of (log PI) in k 1.761 * [taylor]: Taking taylor expansion of PI in k 1.761 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 1.761 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 1.761 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 1.761 * [taylor]: Taking taylor expansion of 1.0 in k 1.761 * [taylor]: Taking taylor expansion of (log n) in k 1.761 * [taylor]: Taking taylor expansion of n in k 1.762 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))) in k 1.762 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (/ 0.5 k)) in k 1.762 * [taylor]: Taking taylor expansion of (exp (* (/ 0.5 k) (log (* 2.0 (/ PI n))))) in k 1.762 * [taylor]: Taking taylor expansion of (* (/ 0.5 k) (log (* 2.0 (/ PI n)))) in k 1.762 * [taylor]: Taking taylor expansion of (/ 0.5 k) in k 1.762 * [taylor]: Taking taylor expansion of 0.5 in k 1.762 * [taylor]: Taking taylor expansion of k in k 1.762 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 1.762 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 1.762 * [taylor]: Taking taylor expansion of 2.0 in k 1.762 * [taylor]: Taking taylor expansion of (/ PI n) in k 1.762 * [taylor]: Taking taylor expansion of PI in k 1.762 * [taylor]: Taking taylor expansion of n in k 1.763 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k)))))) in n 1.763 * [taylor]: Taking taylor expansion of 1.0 in n 1.763 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))))) in n 1.763 * [taylor]: Taking taylor expansion of (sqrt k) in n 1.763 * [taylor]: Taking taylor expansion of k in n 1.763 * [taylor]: Taking taylor expansion of (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k)))) in n 1.763 * [taylor]: Taking taylor expansion of (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 1.763 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 1.763 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 1.763 * [taylor]: Taking taylor expansion of 0.5 in n 1.763 * [taylor]: Taking taylor expansion of (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 1.763 * [taylor]: Taking taylor expansion of (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 1.763 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow PI 1.0)) in n 1.763 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 1.763 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 1.763 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 1.763 * [taylor]: Taking taylor expansion of 1.0 in n 1.763 * [taylor]: Taking taylor expansion of (log 2.0) in n 1.763 * [taylor]: Taking taylor expansion of 2.0 in n 1.763 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 1.763 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 1.763 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 1.763 * [taylor]: Taking taylor expansion of 1.0 in n 1.763 * [taylor]: Taking taylor expansion of (log PI) in n 1.763 * [taylor]: Taking taylor expansion of PI in n 1.763 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 1.763 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 1.763 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 1.763 * [taylor]: Taking taylor expansion of 1.0 in n 1.763 * [taylor]: Taking taylor expansion of (log n) in n 1.763 * [taylor]: Taking taylor expansion of n in n 1.764 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))) in n 1.764 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (/ 0.5 k)) in n 1.764 * [taylor]: Taking taylor expansion of (exp (* (/ 0.5 k) (log (* 2.0 (/ PI n))))) in n 1.764 * [taylor]: Taking taylor expansion of (* (/ 0.5 k) (log (* 2.0 (/ PI n)))) in n 1.764 * [taylor]: Taking taylor expansion of (/ 0.5 k) in n 1.764 * [taylor]: Taking taylor expansion of 0.5 in n 1.764 * [taylor]: Taking taylor expansion of k in n 1.764 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 1.764 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.765 * [taylor]: Taking taylor expansion of 2.0 in n 1.765 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.765 * [taylor]: Taking taylor expansion of PI in n 1.765 * [taylor]: Taking taylor expansion of n in n 1.765 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k)))))) in n 1.765 * [taylor]: Taking taylor expansion of 1.0 in n 1.765 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))))) in n 1.765 * [taylor]: Taking taylor expansion of (sqrt k) in n 1.765 * [taylor]: Taking taylor expansion of k in n 1.765 * [taylor]: Taking taylor expansion of (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k)))) in n 1.765 * [taylor]: Taking taylor expansion of (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 1.765 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 1.765 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 1.765 * [taylor]: Taking taylor expansion of 0.5 in n 1.765 * [taylor]: Taking taylor expansion of (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 1.765 * [taylor]: Taking taylor expansion of (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 1.765 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow PI 1.0)) in n 1.765 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 1.765 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 1.765 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 1.765 * [taylor]: Taking taylor expansion of 1.0 in n 1.765 * [taylor]: Taking taylor expansion of (log 2.0) in n 1.765 * [taylor]: Taking taylor expansion of 2.0 in n 1.765 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 1.765 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 1.765 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 1.765 * [taylor]: Taking taylor expansion of 1.0 in n 1.765 * [taylor]: Taking taylor expansion of (log PI) in n 1.765 * [taylor]: Taking taylor expansion of PI in n 1.765 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 1.765 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 1.765 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 1.765 * [taylor]: Taking taylor expansion of 1.0 in n 1.766 * [taylor]: Taking taylor expansion of (log n) in n 1.766 * [taylor]: Taking taylor expansion of n in n 1.766 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))) in n 1.766 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (/ 0.5 k)) in n 1.767 * [taylor]: Taking taylor expansion of (exp (* (/ 0.5 k) (log (* 2.0 (/ PI n))))) in n 1.767 * [taylor]: Taking taylor expansion of (* (/ 0.5 k) (log (* 2.0 (/ PI n)))) in n 1.767 * [taylor]: Taking taylor expansion of (/ 0.5 k) in n 1.767 * [taylor]: Taking taylor expansion of 0.5 in n 1.767 * [taylor]: Taking taylor expansion of k in n 1.767 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 1.767 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.767 * [taylor]: Taking taylor expansion of 2.0 in n 1.767 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.767 * [taylor]: Taking taylor expansion of PI in n 1.767 * [taylor]: Taking taylor expansion of n in n 1.768 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (* (/ 1 (exp (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k)))) (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0)) 0.5)))) in k 1.768 * [taylor]: Taking taylor expansion of 1.0 in k 1.768 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (/ 1 (exp (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k)))) (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0)) 0.5))) in k 1.768 * [taylor]: Taking taylor expansion of (sqrt k) in k 1.768 * [taylor]: Taking taylor expansion of k in k 1.768 * [taylor]: Taking taylor expansion of (* (/ 1 (exp (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k)))) (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0)) 0.5)) in k 1.768 * [taylor]: Taking taylor expansion of (/ 1 (exp (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k)))) in k 1.768 * [taylor]: Taking taylor expansion of (exp (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k))) in k 1.768 * [taylor]: Taking taylor expansion of (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k)) in k 1.768 * [taylor]: Taking taylor expansion of 0.5 in k 1.768 * [taylor]: Taking taylor expansion of (/ (- (log (* 2.0 PI)) (log n)) k) in k 1.768 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 1.768 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 1.768 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 1.768 * [taylor]: Taking taylor expansion of 2.0 in k 1.768 * [taylor]: Taking taylor expansion of PI in k 1.768 * [taylor]: Taking taylor expansion of (log n) in k 1.768 * [taylor]: Taking taylor expansion of n in k 1.768 * [taylor]: Taking taylor expansion of k in k 1.769 * [taylor]: Taking taylor expansion of (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0)) 0.5) in k 1.769 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0))))) in k 1.769 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0)))) in k 1.769 * [taylor]: Taking taylor expansion of 0.5 in k 1.769 * [taylor]: Taking taylor expansion of (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0))) in k 1.769 * [taylor]: Taking taylor expansion of (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0)) in k 1.769 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow 2.0 1.0)) in k 1.769 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 1.769 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 1.769 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 1.769 * [taylor]: Taking taylor expansion of 1.0 in k 1.769 * [taylor]: Taking taylor expansion of (log PI) in k 1.769 * [taylor]: Taking taylor expansion of PI in k 1.769 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 1.769 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 1.769 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 1.769 * [taylor]: Taking taylor expansion of 1.0 in k 1.769 * [taylor]: Taking taylor expansion of (log 2.0) in k 1.769 * [taylor]: Taking taylor expansion of 2.0 in k 1.769 * [taylor]: Taking taylor expansion of (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) in k 1.769 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log (exp (* 1.0 (+ (log 1) (log n))))))) in k 1.769 * [taylor]: Taking taylor expansion of (* 1.0 (log (exp (* 1.0 (+ (log 1) (log n)))))) in k 1.769 * [taylor]: Taking taylor expansion of 1.0 in k 1.769 * [taylor]: Taking taylor expansion of (log (exp (* 1.0 (+ (log 1) (log n))))) in k 1.769 * [taylor]: Taking taylor expansion of (exp (* 1.0 (+ (log 1) (log n)))) in k 1.769 * [taylor]: Taking taylor expansion of (* 1.0 (+ (log 1) (log n))) in k 1.769 * [taylor]: Taking taylor expansion of 1.0 in k 1.769 * [taylor]: Taking taylor expansion of (+ (log 1) (log n)) in k 1.769 * [taylor]: Taking taylor expansion of (log 1) in k 1.769 * [taylor]: Taking taylor expansion of 1 in k 1.769 * [taylor]: Taking taylor expansion of (log n) in k 1.769 * [taylor]: Taking taylor expansion of n in k 1.775 * [taylor]: Taking taylor expansion of 0 in k 1.783 * [taylor]: Taking taylor expansion of 0 in k 1.797 * [taylor]: Taking taylor expansion of 0 in k 1.806 * [approximate]: Taking taylor expansion of (* 1.0 (* (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5))) in (n k) around 0 1.806 * [taylor]: Taking taylor expansion of (* 1.0 (* (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5))) in k 1.806 * [taylor]: Taking taylor expansion of 1.0 in k 1.806 * [taylor]: Taking taylor expansion of (* (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5)) in k 1.806 * [taylor]: Taking taylor expansion of (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) in k 1.806 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k))) in k 1.806 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 1.806 * [taylor]: Taking taylor expansion of (/ -1 k) in k 1.806 * [taylor]: Taking taylor expansion of -1 in k 1.806 * [taylor]: Taking taylor expansion of k in k 1.807 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (/ -0.5 k)) in k 1.807 * [taylor]: Taking taylor expansion of (exp (* (/ -0.5 k) (log (* -2.0 (/ PI n))))) in k 1.807 * [taylor]: Taking taylor expansion of (* (/ -0.5 k) (log (* -2.0 (/ PI n)))) in k 1.807 * [taylor]: Taking taylor expansion of (/ -0.5 k) in k 1.807 * [taylor]: Taking taylor expansion of -0.5 in k 1.807 * [taylor]: Taking taylor expansion of k in k 1.807 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 1.807 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 1.807 * [taylor]: Taking taylor expansion of -2.0 in k 1.807 * [taylor]: Taking taylor expansion of (/ PI n) in k 1.807 * [taylor]: Taking taylor expansion of PI in k 1.807 * [taylor]: Taking taylor expansion of n in k 1.807 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in k 1.807 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in k 1.807 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in k 1.807 * [taylor]: Taking taylor expansion of 0.5 in k 1.807 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in k 1.807 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in k 1.807 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in k 1.807 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in k 1.807 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in k 1.807 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in k 1.807 * [taylor]: Taking taylor expansion of 1.0 in k 1.807 * [taylor]: Taking taylor expansion of (log -2.0) in k 1.807 * [taylor]: Taking taylor expansion of -2.0 in k 1.807 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 1.807 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 1.807 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 1.808 * [taylor]: Taking taylor expansion of 1.0 in k 1.808 * [taylor]: Taking taylor expansion of (log PI) in k 1.808 * [taylor]: Taking taylor expansion of PI in k 1.808 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 1.808 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 1.808 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 1.808 * [taylor]: Taking taylor expansion of 1.0 in k 1.808 * [taylor]: Taking taylor expansion of (log n) in k 1.808 * [taylor]: Taking taylor expansion of n in k 1.809 * [taylor]: Taking taylor expansion of (* 1.0 (* (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5))) in n 1.809 * [taylor]: Taking taylor expansion of 1.0 in n 1.809 * [taylor]: Taking taylor expansion of (* (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5)) in n 1.809 * [taylor]: Taking taylor expansion of (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) in n 1.809 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k))) in n 1.809 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 1.809 * [taylor]: Taking taylor expansion of (/ -1 k) in n 1.809 * [taylor]: Taking taylor expansion of -1 in n 1.809 * [taylor]: Taking taylor expansion of k in n 1.809 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (/ -0.5 k)) in n 1.809 * [taylor]: Taking taylor expansion of (exp (* (/ -0.5 k) (log (* -2.0 (/ PI n))))) in n 1.809 * [taylor]: Taking taylor expansion of (* (/ -0.5 k) (log (* -2.0 (/ PI n)))) in n 1.809 * [taylor]: Taking taylor expansion of (/ -0.5 k) in n 1.809 * [taylor]: Taking taylor expansion of -0.5 in n 1.809 * [taylor]: Taking taylor expansion of k in n 1.809 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 1.809 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.809 * [taylor]: Taking taylor expansion of -2.0 in n 1.809 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.809 * [taylor]: Taking taylor expansion of PI in n 1.809 * [taylor]: Taking taylor expansion of n in n 1.809 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 1.809 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 1.810 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 1.810 * [taylor]: Taking taylor expansion of 0.5 in n 1.810 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 1.810 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 1.810 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in n 1.810 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in n 1.810 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in n 1.810 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in n 1.810 * [taylor]: Taking taylor expansion of 1.0 in n 1.810 * [taylor]: Taking taylor expansion of (log -2.0) in n 1.810 * [taylor]: Taking taylor expansion of -2.0 in n 1.810 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 1.810 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 1.810 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 1.810 * [taylor]: Taking taylor expansion of 1.0 in n 1.810 * [taylor]: Taking taylor expansion of (log PI) in n 1.810 * [taylor]: Taking taylor expansion of PI in n 1.810 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 1.810 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 1.810 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 1.810 * [taylor]: Taking taylor expansion of 1.0 in n 1.810 * [taylor]: Taking taylor expansion of (log n) in n 1.810 * [taylor]: Taking taylor expansion of n in n 1.811 * [taylor]: Taking taylor expansion of (* 1.0 (* (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5))) in n 1.811 * [taylor]: Taking taylor expansion of 1.0 in n 1.811 * [taylor]: Taking taylor expansion of (* (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5)) in n 1.811 * [taylor]: Taking taylor expansion of (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) in n 1.811 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k))) in n 1.811 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 1.811 * [taylor]: Taking taylor expansion of (/ -1 k) in n 1.811 * [taylor]: Taking taylor expansion of -1 in n 1.811 * [taylor]: Taking taylor expansion of k in n 1.811 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (/ -0.5 k)) in n 1.811 * [taylor]: Taking taylor expansion of (exp (* (/ -0.5 k) (log (* -2.0 (/ PI n))))) in n 1.811 * [taylor]: Taking taylor expansion of (* (/ -0.5 k) (log (* -2.0 (/ PI n)))) in n 1.811 * [taylor]: Taking taylor expansion of (/ -0.5 k) in n 1.811 * [taylor]: Taking taylor expansion of -0.5 in n 1.811 * [taylor]: Taking taylor expansion of k in n 1.811 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 1.811 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.811 * [taylor]: Taking taylor expansion of -2.0 in n 1.811 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.811 * [taylor]: Taking taylor expansion of PI in n 1.811 * [taylor]: Taking taylor expansion of n in n 1.812 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 1.812 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 1.812 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 1.812 * [taylor]: Taking taylor expansion of 0.5 in n 1.812 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 1.812 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 1.812 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in n 1.812 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in n 1.812 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in n 1.812 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in n 1.812 * [taylor]: Taking taylor expansion of 1.0 in n 1.812 * [taylor]: Taking taylor expansion of (log -2.0) in n 1.812 * [taylor]: Taking taylor expansion of -2.0 in n 1.812 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 1.812 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 1.812 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 1.812 * [taylor]: Taking taylor expansion of 1.0 in n 1.812 * [taylor]: Taking taylor expansion of (log PI) in n 1.812 * [taylor]: Taking taylor expansion of PI in n 1.812 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 1.812 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 1.812 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 1.812 * [taylor]: Taking taylor expansion of 1.0 in n 1.812 * [taylor]: Taking taylor expansion of (log n) in n 1.812 * [taylor]: Taking taylor expansion of n in n 1.814 * [taylor]: Taking taylor expansion of (* 1.0 (* (/ 1 (* (exp (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k))) (sqrt (/ -1 k)))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0)) 0.5))) in k 1.814 * [taylor]: Taking taylor expansion of 1.0 in k 1.814 * [taylor]: Taking taylor expansion of (* (/ 1 (* (exp (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k))) (sqrt (/ -1 k)))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0)) 0.5)) in k 1.814 * [taylor]: Taking taylor expansion of (/ 1 (* (exp (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k))) (sqrt (/ -1 k)))) in k 1.814 * [taylor]: Taking taylor expansion of (* (exp (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k))) (sqrt (/ -1 k))) in k 1.815 * [taylor]: Taking taylor expansion of (exp (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k))) in k 1.815 * [taylor]: Taking taylor expansion of (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k)) in k 1.815 * [taylor]: Taking taylor expansion of -0.5 in k 1.815 * [taylor]: Taking taylor expansion of (/ (- (log (* -2.0 PI)) (log n)) k) in k 1.815 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 1.815 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 1.815 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 1.815 * [taylor]: Taking taylor expansion of -2.0 in k 1.815 * [taylor]: Taking taylor expansion of PI in k 1.815 * [taylor]: Taking taylor expansion of (log n) in k 1.815 * [taylor]: Taking taylor expansion of n in k 1.815 * [taylor]: Taking taylor expansion of k in k 1.815 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 1.815 * [taylor]: Taking taylor expansion of (/ -1 k) in k 1.815 * [taylor]: Taking taylor expansion of -1 in k 1.815 * [taylor]: Taking taylor expansion of k in k 1.815 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0)) 0.5) in k 1.815 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0))))) in k 1.815 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0)))) in k 1.815 * [taylor]: Taking taylor expansion of 0.5 in k 1.815 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0))) in k 1.815 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0)) in k 1.815 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in k 1.815 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in k 1.815 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in k 1.816 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in k 1.816 * [taylor]: Taking taylor expansion of 1.0 in k 1.816 * [taylor]: Taking taylor expansion of (log -2.0) in k 1.816 * [taylor]: Taking taylor expansion of -2.0 in k 1.816 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 1.816 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 1.816 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 1.816 * [taylor]: Taking taylor expansion of 1.0 in k 1.816 * [taylor]: Taking taylor expansion of (log PI) in k 1.816 * [taylor]: Taking taylor expansion of PI in k 1.816 * [taylor]: Taking taylor expansion of (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) in k 1.816 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log (exp (* 1.0 (+ (log 1) (log n))))))) in k 1.816 * [taylor]: Taking taylor expansion of (* 1.0 (log (exp (* 1.0 (+ (log 1) (log n)))))) in k 1.816 * [taylor]: Taking taylor expansion of 1.0 in k 1.816 * [taylor]: Taking taylor expansion of (log (exp (* 1.0 (+ (log 1) (log n))))) in k 1.816 * [taylor]: Taking taylor expansion of (exp (* 1.0 (+ (log 1) (log n)))) in k 1.816 * [taylor]: Taking taylor expansion of (* 1.0 (+ (log 1) (log n))) in k 1.816 * [taylor]: Taking taylor expansion of 1.0 in k 1.816 * [taylor]: Taking taylor expansion of (+ (log 1) (log n)) in k 1.816 * [taylor]: Taking taylor expansion of (log 1) in k 1.816 * [taylor]: Taking taylor expansion of 1 in k 1.816 * [taylor]: Taking taylor expansion of (log n) in k 1.816 * [taylor]: Taking taylor expansion of n in k 1.822 * [taylor]: Taking taylor expansion of 0 in k 1.831 * [taylor]: Taking taylor expansion of 0 in k 1.842 * [taylor]: Taking taylor expansion of 0 in k 1.843 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2 2 1) 1.843 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 1.843 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.843 * [taylor]: Taking taylor expansion of 2.0 in n 1.843 * [taylor]: Taking taylor expansion of (* n PI) in n 1.843 * [taylor]: Taking taylor expansion of n in n 1.843 * [taylor]: Taking taylor expansion of PI in n 1.843 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.843 * [taylor]: Taking taylor expansion of 2.0 in n 1.843 * [taylor]: Taking taylor expansion of (* n PI) in n 1.843 * [taylor]: Taking taylor expansion of n in n 1.843 * [taylor]: Taking taylor expansion of PI in n 1.844 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 1.844 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.844 * [taylor]: Taking taylor expansion of 2.0 in n 1.844 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.844 * [taylor]: Taking taylor expansion of PI in n 1.844 * [taylor]: Taking taylor expansion of n in n 1.844 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.844 * [taylor]: Taking taylor expansion of 2.0 in n 1.844 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.844 * [taylor]: Taking taylor expansion of PI in n 1.844 * [taylor]: Taking taylor expansion of n in n 1.845 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 1.845 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.845 * [taylor]: Taking taylor expansion of -2.0 in n 1.845 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.845 * [taylor]: Taking taylor expansion of PI in n 1.845 * [taylor]: Taking taylor expansion of n in n 1.845 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.845 * [taylor]: Taking taylor expansion of -2.0 in n 1.845 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.845 * [taylor]: Taking taylor expansion of PI in n 1.845 * [taylor]: Taking taylor expansion of n in n 1.846 * * * [progress]: simplifying candidates 1.850 * [simplify]: Simplifying using # : (+ 1/2 1/2) (+ 1/2 (/ 1 2)) (+ 1 1) (+ (/ 1 2) 1/2) (+ (/ 1 2) (/ 1 2)) (* (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (* (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))))) (* (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (+ 1 1) (+ (log (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))))) (log (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))))) (log (* (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))))) (exp (* (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))))) (* (* (* (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))))) (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))))) (* (* (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))))) (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))))) (* (cbrt (* (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))))) (cbrt (* (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))))))) (cbrt (* (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))))) (* (* (* (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))))) (* (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))))) (* (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))))) (* (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (sqrt (* (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))))) (sqrt (* (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))))) (* (sqrt (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (sqrt (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))))) (* (sqrt (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (sqrt (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (* (* (cbrt (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))))) (cbrt (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))))) (* (cbrt (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))))) (cbrt (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))))))) (* (cbrt (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))))) (cbrt (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))))) (* (sqrt (* (cbrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (cbrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))))) (sqrt (* (cbrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (cbrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))))))) (* (sqrt (cbrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))))) (sqrt (cbrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))))) (* (sqrt (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))))) (sqrt (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))))) (* (sqrt (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))))) (sqrt (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))))) (* (sqrt (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))))) (sqrt (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))))) (* (sqrt (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))))) (sqrt (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k)))) (* (sqrt (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (sqrt (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (* (sqrt 1) (sqrt 1)) (* (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))))) (* (sqrt (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (sqrt (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))))) (* (sqrt (/ 1 (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (sqrt (/ 1 (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))))) (* (sqrt (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))))) (sqrt (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))))) (* (sqrt (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))))) (sqrt (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))))) (* (sqrt (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))))) (sqrt (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))))) (* (sqrt (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))))) (sqrt (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))))) (* 1 1) (* (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))))) (* (sqrt (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))))) (sqrt (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))))) (* (sqrt (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))))) (sqrt (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))))) (* (sqrt (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))))) (sqrt (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))))) (* (sqrt (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))))) (sqrt (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))))) (* (sqrt (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))))) (sqrt (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))))) (* (sqrt (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))))) (sqrt (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))))) (* (sqrt (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))))) (sqrt (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))))) (* (sqrt (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))))) (sqrt (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))))) (* 2 1/2) (* 2 1) (* 2 (/ 1 2)) (* (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (* (cbrt (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))))) (cbrt (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))))))) (* (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (sqrt (* (cbrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (cbrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))))))) (* (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (sqrt (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))))) (* (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (sqrt (/ 1.0 (sqrt k)))) (* (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (sqrt 1)) (* (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (sqrt (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))))) (* (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (sqrt (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))))) (* (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) 1) (* (cbrt (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))))) (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))))) (* (sqrt (cbrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))))) (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))))) (* (sqrt (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))))) (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))))) (* (sqrt (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))))) (* (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))))) (* (sqrt (/ 1 (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))))) (* (sqrt (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))))) (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))))) (* (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))))) (* (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (sqrt (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))))) (* (sqrt (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))))) (- (+ (log 1.0) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ k 2.0)))) (- (+ (log 1.0) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (+ (log (* 2.0 PI)) (log n)) (/ k 2.0)))) (- (+ (log 1.0) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)))) (- (+ (log 1.0) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)))) (- (+ (log 1.0) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (log (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (+ (log 1.0) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ 1.0 2.0))) (log (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (+ (log 1.0) (* (+ (log (* 2.0 PI)) (log n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ k 2.0)))) (- (+ (log 1.0) (* (+ (log (* 2.0 PI)) (log n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (+ (log (* 2.0 PI)) (log n)) (/ k 2.0)))) (- (+ (log 1.0) (* (+ (log (* 2.0 PI)) (log n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)))) (- (+ (log 1.0) (* (+ (log (* 2.0 PI)) (log n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)))) (- (+ (log 1.0) (* (+ (log (* 2.0 PI)) (log n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (log (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (+ (log 1.0) (* (+ (log (* 2.0 PI)) (log n)) (/ 1.0 2.0))) (log (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (+ (log 1.0) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ k 2.0)))) (- (+ (log 1.0) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (+ (log (* 2.0 PI)) (log n)) (/ k 2.0)))) (- (+ (log 1.0) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)))) (- (+ (log 1.0) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)))) (- (+ (log 1.0) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (log (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (+ (log 1.0) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0))) (log (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (+ (log 1.0) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ k 2.0)))) (- (+ (log 1.0) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (+ (log (* 2.0 PI)) (log n)) (/ k 2.0)))) (- (+ (log 1.0) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)))) (- (+ (log 1.0) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)))) (- (+ (log 1.0) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (log (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (+ (log 1.0) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0))) (log (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (+ (log 1.0) (log (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (+ (log (sqrt k)) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ k 2.0)))) (- (+ (log 1.0) (log (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (+ (log (sqrt k)) (* (+ (log (* 2.0 PI)) (log n)) (/ k 2.0)))) (- (+ (log 1.0) (log (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (+ (log (sqrt k)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)))) (- (+ (log 1.0) (log (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (+ (log (sqrt k)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)))) (- (+ (log 1.0) (log (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (+ (log (sqrt k)) (log (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (+ (log 1.0) (log (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (log (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (log (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (+ (log (sqrt k)) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ k 2.0)))) (- (log (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (+ (log (sqrt k)) (* (+ (log (* 2.0 PI)) (log n)) (/ k 2.0)))) (- (log (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (+ (log (sqrt k)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)))) (- (log (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (+ (log (sqrt k)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)))) (- (log (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (+ (log (sqrt k)) (log (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (log (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (log (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (exp (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (/ (* (* (* 1.0 1.0) 1.0) (* (* (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (* (* (* (sqrt k) (sqrt k)) (sqrt k)) (* (* (pow (* (* 2.0 PI) n) (/ k 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0))) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (/ (* (* (* 1.0 1.0) 1.0) (* (* (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (* (* (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (/ (* (* (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (* (* (* (sqrt k) (sqrt k)) (sqrt k)) (* (* (pow (* (* 2.0 PI) n) (/ k 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0))) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (/ (* (* (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (* (* (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (* (cbrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (cbrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))))) (cbrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (* (* (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (neg (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (neg (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (/ 1.0 (sqrt k)) (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0))) (/ 1 (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (/ (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt k)) (/ (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (- (+ (log 1.0) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ k 2.0)))) (- (+ (log 1.0) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (+ (log (* 2.0 PI)) (log n)) (/ k 2.0)))) (- (+ (log 1.0) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)))) (- (+ (log 1.0) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)))) (- (+ (log 1.0) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (log (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (+ (log 1.0) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ 1.0 2.0))) (log (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (+ (log 1.0) (* (+ (log (* 2.0 PI)) (log n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ k 2.0)))) (- (+ (log 1.0) (* (+ (log (* 2.0 PI)) (log n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (+ (log (* 2.0 PI)) (log n)) (/ k 2.0)))) (- (+ (log 1.0) (* (+ (log (* 2.0 PI)) (log n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)))) (- (+ (log 1.0) (* (+ (log (* 2.0 PI)) (log n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)))) (- (+ (log 1.0) (* (+ (log (* 2.0 PI)) (log n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (log (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (+ (log 1.0) (* (+ (log (* 2.0 PI)) (log n)) (/ 1.0 2.0))) (log (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (+ (log 1.0) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ k 2.0)))) (- (+ (log 1.0) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (+ (log (* 2.0 PI)) (log n)) (/ k 2.0)))) (- (+ (log 1.0) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)))) (- (+ (log 1.0) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)))) (- (+ (log 1.0) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (log (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (+ (log 1.0) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0))) (log (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (+ (log 1.0) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ k 2.0)))) (- (+ (log 1.0) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (+ (log (* 2.0 PI)) (log n)) (/ k 2.0)))) (- (+ (log 1.0) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)))) (- (+ (log 1.0) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)))) (- (+ (log 1.0) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (log (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (+ (log 1.0) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0))) (log (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (+ (log 1.0) (log (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (+ (log (sqrt k)) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ k 2.0)))) (- (+ (log 1.0) (log (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (+ (log (sqrt k)) (* (+ (log (* 2.0 PI)) (log n)) (/ k 2.0)))) (- (+ (log 1.0) (log (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (+ (log (sqrt k)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)))) (- (+ (log 1.0) (log (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (+ (log (sqrt k)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)))) (- (+ (log 1.0) (log (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (+ (log (sqrt k)) (log (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (+ (log 1.0) (log (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (log (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (log (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (+ (log (sqrt k)) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ k 2.0)))) (- (log (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (+ (log (sqrt k)) (* (+ (log (* 2.0 PI)) (log n)) (/ k 2.0)))) (- (log (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (+ (log (sqrt k)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)))) (- (log (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (+ (log (sqrt k)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)))) (- (log (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (+ (log (sqrt k)) (log (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (log (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (log (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (exp (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (/ (* (* (* 1.0 1.0) 1.0) (* (* (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (* (* (* (sqrt k) (sqrt k)) (sqrt k)) (* (* (pow (* (* 2.0 PI) n) (/ k 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0))) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (/ (* (* (* 1.0 1.0) 1.0) (* (* (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (* (* (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (/ (* (* (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (* (* (* (sqrt k) (sqrt k)) (sqrt k)) (* (* (pow (* (* 2.0 PI) n) (/ k 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0))) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (/ (* (* (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (* (* (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (* (cbrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (cbrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))))) (cbrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (* (* (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (neg (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (neg (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (/ 1.0 (sqrt k)) (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0))) (/ 1 (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (/ (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt k)) (/ (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (+ (+ (log 2.0) (log PI)) (log n)) (+ (log (* 2.0 PI)) (log n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (* (* (* (* 2.0 2.0) 2.0) (* (* PI PI) PI)) (* (* n n) n)) (* (* (* (* 2.0 PI) (* 2.0 PI)) (* 2.0 PI)) (* (* n n) n)) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (* (* (* (* 2.0 PI) n) (* (* 2.0 PI) n)) (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* (* 2.0 PI) 1) (* PI n) (- (+ (* 0.25 (* (* (pow (sqrt 1.0) 2) (* NAN (* (log (* 2.0 PI)) (* (log n) (pow k 2))))) (pow (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) 0.5))) (+ (* 0.125 (* (* (pow (sqrt 1.0) 2) (* NAN (* (pow (log n) 2) (pow k 2)))) (pow (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) 0.5))) (+ (* (* NAN (pow (sqrt 1.0) 2)) (pow (* (pow PI 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow 2.0 1.0))) 0.5)) (+ (* (* k (* (pow NAN 3) (pow (sqrt 1.0) 2))) (pow (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) 0.5)) (+ (* 0.125 (* (* (pow (sqrt 1.0) 2) (* NAN (* (pow (log (* 2.0 PI)) 2) (pow k 2)))) (pow (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) 0.5))) (* (* (pow k 2) (* (pow NAN 5) (pow (sqrt 1.0) 2))) (pow (* (pow 2.0 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow PI 1.0))) 0.5))))))) (+ (* 0.5 (* (* (pow (sqrt 1.0) 2) (* NAN (* (log (* 2.0 PI)) k))) (pow (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) 0.5))) (+ (* 0.5 (* (* (pow (sqrt 1.0) 2) (* (pow NAN 3) (* (log n) (pow k 2)))) (pow (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) 0.5))) (+ (* 0.5 (* (* (pow (sqrt 1.0) 2) (* k (* (log n) NAN))) (pow (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) 0.5))) (* 0.5 (* (* (pow (sqrt 1.0) 2) (* (pow NAN 3) (* (log (* 2.0 PI)) (pow k 2)))) (pow (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) 0.5))))))) (+ (* (/ (* (pow (sqrt 1.0) 2) (pow NAN 5)) (* (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) k))) (pow k 3))) (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow (exp (* 1.0 (+ (log 1) (log (/ 1 n))))) 1.0)) 0.5)) (+ (* (/ (* (pow (sqrt 1.0) 2) (pow NAN 3)) (* (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) k))) (pow k 2))) (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow (exp (* 1.0 (+ (log 1) (log (/ 1 n))))) 1.0)) 0.5)) (* (/ (* (pow (sqrt 1.0) 2) NAN) (* (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) k))) k)) (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow (exp (* 1.0 (+ (log 1) (log (/ 1 n))))) 1.0)) 0.5)))) (+ (* (/ (pow (sqrt 1.0) 2) (* (exp (* 0.5 (* k (- (log (* -2.0 PI)) (log (/ -1 n)))))) NAN)) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow (exp (* 1.0 (+ (log 1) (log (/ -1 n))))) 1.0)) 0.5)) (* (/ (* (pow (sqrt 1.0) 2) NAN) (* (exp (* 0.5 (* k (- (log (* -2.0 PI)) (log (/ -1 n)))))) k)) (pow (/ (* (pow PI 1.0) (pow -2.0 1.0)) (pow (exp (* 1.0 (+ (log 1) (log (/ -1 n))))) 1.0)) 0.5))) (- (+ (* 0.125 (* (* (pow k 2) (* (pow (log (* 2.0 PI)) 2) NAN)) (pow (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) 0.5))) (+ (* 1.0 (* (* k (pow NAN 3)) (pow (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) 0.5))) (+ (* 0.25 (* (* NAN (* (pow k 2) (* (log (* 2.0 PI)) (log n)))) (pow (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) 0.5))) (+ (* 1.0 (* (* (pow k 2) (pow NAN 5)) (pow (* (pow 2.0 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow PI 1.0))) 0.5))) (+ (* 0.125 (* (* (pow k 2) (* NAN (pow (log n) 2))) (pow (* (pow 2.0 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow PI 1.0))) 0.5))) (* 1.0 (* NAN (pow (* (pow PI 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow 2.0 1.0))) 0.5)))))))) (+ (* 0.5 (* (* k (* NAN (log n))) (pow (* (pow 2.0 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow PI 1.0))) 0.5))) (+ (* 0.5 (* (* (pow k 2) (* (log (* 2.0 PI)) (pow NAN 3))) (pow (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) 0.5))) (+ (* 0.5 (* (* k (* (log (* 2.0 PI)) NAN)) (pow (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) 0.5))) (* 0.5 (* (* (pow k 2) (* (pow NAN 3) (log n))) (pow (* (pow 2.0 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow PI 1.0))) 0.5))))))) (+ (* 1.0 (* (/ (pow NAN 5) (* (pow k 3) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) k))))) (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow (exp (* 1.0 (+ (log 1) (log (/ 1 n))))) 1.0)) 0.5))) (+ (* 1.0 (* (/ (pow NAN 3) (* (pow k 2) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) k))))) (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow (exp (* 1.0 (+ (log 1) (log (/ 1 n))))) 1.0)) 0.5))) (* 1.0 (* (/ NAN (* k (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) k))))) (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow (exp (* 1.0 (+ (log 1) (log (/ 1 n))))) 1.0)) 0.5))))) (+ (* 1.0 (* (/ NAN (* (exp (* 0.5 (* k (- (log (* -2.0 PI)) (log (/ -1 n)))))) k)) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow (exp (* 1.0 (+ (log 1) (log (/ -1 n))))) 1.0)) 0.5))) (* 1.0 (* (/ 1 (* (exp (* 0.5 (* k (- (log (* -2.0 PI)) (log (/ -1 n)))))) NAN)) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow (exp (* 1.0 (+ (log 1) (log (/ -1 n))))) 1.0)) 0.5)))) (- (+ (* 0.125 (* (* (pow k 2) (* (pow (log (* 2.0 PI)) 2) NAN)) (pow (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) 0.5))) (+ (* 1.0 (* (* k (pow NAN 3)) (pow (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) 0.5))) (+ (* 0.25 (* (* NAN (* (pow k 2) (* (log (* 2.0 PI)) (log n)))) (pow (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) 0.5))) (+ (* 1.0 (* (* (pow k 2) (pow NAN 5)) (pow (* (pow 2.0 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow PI 1.0))) 0.5))) (+ (* 0.125 (* (* (pow k 2) (* NAN (pow (log n) 2))) (pow (* (pow 2.0 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow PI 1.0))) 0.5))) (* 1.0 (* NAN (pow (* (pow PI 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow 2.0 1.0))) 0.5)))))))) (+ (* 0.5 (* (* k (* NAN (log n))) (pow (* (pow 2.0 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow PI 1.0))) 0.5))) (+ (* 0.5 (* (* (pow k 2) (* (log (* 2.0 PI)) (pow NAN 3))) (pow (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) 0.5))) (+ (* 0.5 (* (* k (* (log (* 2.0 PI)) NAN)) (pow (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) 0.5))) (* 0.5 (* (* (pow k 2) (* (pow NAN 3) (log n))) (pow (* (pow 2.0 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow PI 1.0))) 0.5))))))) (+ (* 1.0 (* (/ (pow NAN 5) (* (pow k 3) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) k))))) (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow (exp (* 1.0 (+ (log 1) (log (/ 1 n))))) 1.0)) 0.5))) (+ (* 1.0 (* (/ (pow NAN 3) (* (pow k 2) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) k))))) (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow (exp (* 1.0 (+ (log 1) (log (/ 1 n))))) 1.0)) 0.5))) (* 1.0 (* (/ NAN (* k (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) k))))) (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow (exp (* 1.0 (+ (log 1) (log (/ 1 n))))) 1.0)) 0.5))))) (+ (* 1.0 (* (/ NAN (* (exp (* 0.5 (* k (- (log (* -2.0 PI)) (log (/ -1 n)))))) k)) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow (exp (* 1.0 (+ (log 1) (log (/ -1 n))))) 1.0)) 0.5))) (* 1.0 (* (/ 1 (* (exp (* 0.5 (* k (- (log (* -2.0 PI)) (log (/ -1 n)))))) NAN)) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow (exp (* 1.0 (+ (log 1) (log (/ -1 n))))) 1.0)) 0.5)))) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) 1.869 * * [simplify]: iteration 0 : 1149 enodes (cost 3651 ) 1.889 * * [simplify]: iteration 1 : 5001 enodes (cost 3072 ) 1.904 * [simplify]: Simplified to: 1 1 2 1 1 (* (/ (* 1.0 1.0) k) (/ (pow (* (* 2.0 PI) n) (* 2 (/ 1.0 2.0))) (pow (* (* 2.0 PI) n) (* 2 (/ k 2.0))))) (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (* (/ (* 1.0 1.0) k) (/ (pow (* (* 2.0 PI) n) (* 2 (/ 1.0 2.0))) (pow (* (* 2.0 PI) n) (* 2 (/ k 2.0))))) 2 (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (exp (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (pow (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) 3) (* (cbrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (cbrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))))) (cbrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (pow (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) 3) (* (/ (* 1.0 1.0) k) (/ (pow (* (* 2.0 PI) n) (* 2 (/ 1.0 2.0))) (pow (* (* 2.0 PI) n) (* 2 (/ k 2.0))))) (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (* (* (cbrt (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))))) (cbrt (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))))) (* (cbrt (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))))) (cbrt (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))))))) (* (cbrt (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))))) (cbrt (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))))) (* (cbrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (cbrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))))) (cbrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (/ 1.0 (sqrt k)) (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0))) 1 (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (/ 1 (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) 1 (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) 1 2 1 (* (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (* (cbrt (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))))) (cbrt (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))))))) (* (fabs (cbrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))))) (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))))) (pow (sqrt (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))))) 3) (* (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (sqrt (/ 1.0 (sqrt k)))) (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (* (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (sqrt (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))))) (pow (sqrt (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))))) 3) (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (* (cbrt (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))))) (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))))) (* (sqrt (cbrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))))) (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))))) (pow (sqrt (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))))) 3) (* (sqrt (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))))) (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (* (sqrt (/ 1 (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))))) (pow (sqrt (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))))) 3) (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (* (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (sqrt (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))))) (* (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (sqrt (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (exp (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (pow (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) 3) (pow (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) 3) (pow (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) 3) (pow (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) 3) (* (cbrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (cbrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))))) (cbrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (pow (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) 3) (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (neg (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (neg (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (/ 1.0 (sqrt k)) (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0))) (/ 1 (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (/ (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt k)) (/ (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (exp (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (pow (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) 3) (pow (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) 3) (pow (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) 3) (pow (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) 3) (* (cbrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (cbrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))))) (cbrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (pow (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) 3) (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (neg (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (neg (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (/ 1.0 (sqrt k)) (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0))) (/ 1 (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (/ (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt k)) (/ (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (pow (* 2.0 (* n PI)) 3) (pow (* 2.0 (* n PI)) 3) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (pow (* 2.0 (* n PI)) 3) (sqrt (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* 2.0 PI) (* PI n) (- (- (+ (+ (* (pow (* (pow 2.0 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow PI 1.0))) 0.5) (+ (* 0.25 (* (pow (sqrt 1.0) 2) (* NAN (* (log (* 2.0 PI)) (* (log n) (pow k 2)))))) (* 0.125 (* (pow (sqrt 1.0) 2) (* NAN (* (pow (log n) 2) (pow k 2))))))) (* (pow (* (pow 2.0 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow PI 1.0))) 0.5) (+ (* NAN (pow (sqrt 1.0) 2)) (* k (* (pow NAN 3) (pow (sqrt 1.0) 2)))))) (* (pow (* (pow 2.0 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow PI 1.0))) 0.5) (+ (* (pow k 2) (* (pow NAN 5) (pow (sqrt 1.0) 2))) (* 0.125 (* (pow (sqrt 1.0) 2) (* NAN (* (pow (log (* 2.0 PI)) 2) (pow k 2)))))))) (* (pow (* (pow 2.0 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow PI 1.0))) 0.5) (+ (* 0.5 (* (pow (sqrt 1.0) 2) (* NAN (* (log (* 2.0 PI)) k)))) (* 0.5 (* (pow (sqrt 1.0) 2) (* (pow NAN 3) (* (log n) (pow k 2)))))))) (* (pow (* (pow 2.0 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow PI 1.0))) 0.5) (+ (* 0.5 (* (pow (sqrt 1.0) 2) (* k (* (log n) NAN)))) (* 0.5 (* (pow (sqrt 1.0) 2) (* (pow NAN 3) (* (log (* 2.0 PI)) (pow k 2)))))))) (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow (exp (* 1.0 (+ (log 1) (log (/ 1 n))))) 1.0)) 0.5) (+ (* (/ 1.0 (pow k 3)) (/ (pow NAN 5) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) k))))) (+ (/ (* (pow (sqrt 1.0) 2) (pow NAN 3)) (* (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) k))) (pow k 2))) (/ (* (pow (sqrt 1.0) 2) NAN) (* (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) k))) k))))) (* (pow (/ (* (pow PI 1.0) (pow -2.0 1.0)) (pow (exp (* 1.0 (+ (log 1) (log (/ -1 n))))) 1.0)) 0.5) (+ (* (/ 1.0 k) (/ NAN (exp (* 0.5 (* k (- (log (* -2.0 PI)) (log (/ -1 n)))))))) (/ (pow (sqrt 1.0) 2) (* (exp (* 0.5 (* k (- (log (* -2.0 PI)) (log (/ -1 n)))))) NAN)))) (- (- (+ (+ (* (pow (* (pow 2.0 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow PI 1.0))) 0.5) (+ (* 0.125 (* (pow k 2) (* (pow (log (* 2.0 PI)) 2) NAN))) (* 1.0 (* k (pow NAN 3))))) (* (pow (* (pow 2.0 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow PI 1.0))) 0.5) (+ (* 0.25 (* NAN (* (pow k 2) (* (log (* 2.0 PI)) (log n))))) (* 1.0 (* (pow k 2) (pow NAN 5)))))) (* (pow (* (pow 2.0 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow PI 1.0))) 0.5) (+ (* 1.0 NAN) (* 0.125 (* (pow k 2) (* NAN (pow (log n) 2))))))) (* (pow (* (pow 2.0 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow PI 1.0))) 0.5) (+ (* 0.5 (* k (* NAN (log n)))) (* 0.5 (* (pow k 2) (* (log (* 2.0 PI)) (pow NAN 3))))))) (* (pow (* (pow 2.0 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow PI 1.0))) 0.5) (+ (* 0.5 (* k (* (log (* 2.0 PI)) NAN))) (* 0.5 (* (pow k 2) (* (pow NAN 3) (log n))))))) (* 1.0 (+ (* (/ (pow NAN 5) (* (pow k 3) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) k))))) (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow (exp (* 1.0 (+ (log 1) (log (/ 1 n))))) 1.0)) 0.5)) (+ (* (/ (pow NAN 3) (* (pow k 2) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) k))))) (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow (exp (* 1.0 (+ (log 1) (log (/ 1 n))))) 1.0)) 0.5)) (* (/ NAN (* k (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) k))))) (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow (exp (* 1.0 (+ (log 1) (log (/ 1 n))))) 1.0)) 0.5))))) (* (pow (/ (* (pow PI 1.0) (pow -2.0 1.0)) (pow (exp (* 1.0 (+ (log 1) (log (/ -1 n))))) 1.0)) 0.5) (+ (* 1.0 (/ NAN (* (exp (* 0.5 (* k (- (log (* -2.0 PI)) (log (/ -1 n)))))) k))) (* 1.0 (/ 1 (* (exp (* 0.5 (* k (- (log (* -2.0 PI)) (log (/ -1 n)))))) NAN))))) (- (- (+ (+ (* (pow (* (pow 2.0 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow PI 1.0))) 0.5) (+ (* 0.125 (* (pow k 2) (* (pow (log (* 2.0 PI)) 2) NAN))) (* 1.0 (* k (pow NAN 3))))) (* (pow (* (pow 2.0 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow PI 1.0))) 0.5) (+ (* 0.25 (* NAN (* (pow k 2) (* (log (* 2.0 PI)) (log n))))) (* 1.0 (* (pow k 2) (pow NAN 5)))))) (* (pow (* (pow 2.0 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow PI 1.0))) 0.5) (+ (* 1.0 NAN) (* 0.125 (* (pow k 2) (* NAN (pow (log n) 2))))))) (* (pow (* (pow 2.0 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow PI 1.0))) 0.5) (+ (* 0.5 (* k (* NAN (log n)))) (* 0.5 (* (pow k 2) (* (log (* 2.0 PI)) (pow NAN 3))))))) (* (pow (* (pow 2.0 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow PI 1.0))) 0.5) (+ (* 0.5 (* k (* (log (* 2.0 PI)) NAN))) (* 0.5 (* (pow k 2) (* (pow NAN 3) (log n))))))) (* 1.0 (+ (* (/ (pow NAN 5) (* (pow k 3) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) k))))) (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow (exp (* 1.0 (+ (log 1) (log (/ 1 n))))) 1.0)) 0.5)) (+ (* (/ (pow NAN 3) (* (pow k 2) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) k))))) (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow (exp (* 1.0 (+ (log 1) (log (/ 1 n))))) 1.0)) 0.5)) (* (/ NAN (* k (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) k))))) (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow (exp (* 1.0 (+ (log 1) (log (/ 1 n))))) 1.0)) 0.5))))) (* (pow (/ (* (pow PI 1.0) (pow -2.0 1.0)) (pow (exp (* 1.0 (+ (log 1) (log (/ -1 n))))) 1.0)) 0.5) (+ (* 1.0 (/ NAN (* (exp (* 0.5 (* k (- (log (* -2.0 PI)) (log (/ -1 n)))))) k))) (* 1.0 (/ 1 (* (exp (* 0.5 (* k (- (log (* -2.0 PI)) (log (/ -1 n)))))) NAN))))) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) 1.906 * * * [progress]: adding candidates to table 2.299 * * [progress]: iteration 4 / 4 2.300 * * * [progress]: picking best candidate 2.321 * * * * [pick]: Picked # 2.321 * * * [progress]: localizing error 2.343 * * * [progress]: generating rewritten candidates 2.343 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 2) 2.353 * * * * [progress]: [ 2 / 4 ] rewriting at (2) 2.371 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2 1) 2.376 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2 2 1 1) 2.386 * * * [progress]: generating series expansions 2.386 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 2) 2.387 * [approximate]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in (n) around 0 2.387 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 2.387 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 2.387 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 2.387 * [taylor]: Taking taylor expansion of 0.5 in n 2.387 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 2.387 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 2.387 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 2.387 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 2.387 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 2.387 * [taylor]: Taking taylor expansion of 1.0 in n 2.387 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.387 * [taylor]: Taking taylor expansion of 2.0 in n 2.387 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 2.387 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.387 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.387 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.387 * [taylor]: Taking taylor expansion of 1.0 in n 2.387 * [taylor]: Taking taylor expansion of (log n) in n 2.387 * [taylor]: Taking taylor expansion of n in n 2.387 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.387 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.387 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.387 * [taylor]: Taking taylor expansion of 1.0 in n 2.387 * [taylor]: Taking taylor expansion of (log PI) in n 2.387 * [taylor]: Taking taylor expansion of PI in n 2.388 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 2.388 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 2.388 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 2.388 * [taylor]: Taking taylor expansion of 0.5 in n 2.388 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 2.388 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 2.388 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 2.388 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 2.388 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 2.388 * [taylor]: Taking taylor expansion of 1.0 in n 2.388 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.388 * [taylor]: Taking taylor expansion of 2.0 in n 2.388 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 2.389 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.389 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.389 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.389 * [taylor]: Taking taylor expansion of 1.0 in n 2.389 * [taylor]: Taking taylor expansion of (log n) in n 2.389 * [taylor]: Taking taylor expansion of n in n 2.389 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.389 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.389 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.389 * [taylor]: Taking taylor expansion of 1.0 in n 2.389 * [taylor]: Taking taylor expansion of (log PI) in n 2.389 * [taylor]: Taking taylor expansion of PI in n 2.421 * [approximate]: Taking taylor expansion of (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in (n) around 0 2.421 * [taylor]: Taking taylor expansion of (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 2.421 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 2.421 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 2.421 * [taylor]: Taking taylor expansion of 0.5 in n 2.421 * [taylor]: Taking taylor expansion of (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 2.421 * [taylor]: Taking taylor expansion of (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 2.421 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow PI 1.0)) in n 2.421 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 2.421 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 2.421 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 2.421 * [taylor]: Taking taylor expansion of 1.0 in n 2.421 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.421 * [taylor]: Taking taylor expansion of 2.0 in n 2.421 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.421 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.421 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.421 * [taylor]: Taking taylor expansion of 1.0 in n 2.421 * [taylor]: Taking taylor expansion of (log PI) in n 2.421 * [taylor]: Taking taylor expansion of PI in n 2.421 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.421 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.421 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.421 * [taylor]: Taking taylor expansion of 1.0 in n 2.421 * [taylor]: Taking taylor expansion of (log n) in n 2.421 * [taylor]: Taking taylor expansion of n in n 2.422 * [taylor]: Taking taylor expansion of (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 2.422 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 2.422 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 2.422 * [taylor]: Taking taylor expansion of 0.5 in n 2.422 * [taylor]: Taking taylor expansion of (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 2.422 * [taylor]: Taking taylor expansion of (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 2.422 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow PI 1.0)) in n 2.422 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 2.422 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 2.422 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 2.422 * [taylor]: Taking taylor expansion of 1.0 in n 2.422 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.422 * [taylor]: Taking taylor expansion of 2.0 in n 2.422 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.422 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.423 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.423 * [taylor]: Taking taylor expansion of 1.0 in n 2.423 * [taylor]: Taking taylor expansion of (log PI) in n 2.423 * [taylor]: Taking taylor expansion of PI in n 2.423 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.423 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.423 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.423 * [taylor]: Taking taylor expansion of 1.0 in n 2.423 * [taylor]: Taking taylor expansion of (log n) in n 2.423 * [taylor]: Taking taylor expansion of n in n 2.460 * [approximate]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in (n) around 0 2.460 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 2.460 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 2.460 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 2.460 * [taylor]: Taking taylor expansion of 0.5 in n 2.460 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 2.460 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 2.460 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in n 2.460 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in n 2.460 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in n 2.460 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in n 2.460 * [taylor]: Taking taylor expansion of 1.0 in n 2.460 * [taylor]: Taking taylor expansion of (log -2.0) in n 2.460 * [taylor]: Taking taylor expansion of -2.0 in n 2.461 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.461 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.461 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.461 * [taylor]: Taking taylor expansion of 1.0 in n 2.461 * [taylor]: Taking taylor expansion of (log PI) in n 2.461 * [taylor]: Taking taylor expansion of PI in n 2.461 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.461 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.461 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.461 * [taylor]: Taking taylor expansion of 1.0 in n 2.461 * [taylor]: Taking taylor expansion of (log n) in n 2.461 * [taylor]: Taking taylor expansion of n in n 2.462 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 2.462 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 2.462 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 2.462 * [taylor]: Taking taylor expansion of 0.5 in n 2.462 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 2.462 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 2.462 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in n 2.462 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in n 2.462 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in n 2.462 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in n 2.462 * [taylor]: Taking taylor expansion of 1.0 in n 2.462 * [taylor]: Taking taylor expansion of (log -2.0) in n 2.462 * [taylor]: Taking taylor expansion of -2.0 in n 2.462 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.462 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.462 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.462 * [taylor]: Taking taylor expansion of 1.0 in n 2.462 * [taylor]: Taking taylor expansion of (log PI) in n 2.462 * [taylor]: Taking taylor expansion of PI in n 2.462 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.462 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.462 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.462 * [taylor]: Taking taylor expansion of 1.0 in n 2.462 * [taylor]: Taking taylor expansion of (log n) in n 2.462 * [taylor]: Taking taylor expansion of n in n 2.496 * * * * [progress]: [ 2 / 4 ] generating series at (2) 2.496 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k)))))) in (n k) around 0 2.496 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k)))))) in k 2.496 * [taylor]: Taking taylor expansion of 1.0 in k 2.496 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))))) in k 2.496 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 2.497 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.497 * [taylor]: Taking taylor expansion of k in k 2.497 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k)))) in k 2.497 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in k 2.497 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in k 2.497 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in k 2.497 * [taylor]: Taking taylor expansion of 0.5 in k 2.497 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in k 2.497 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in k 2.497 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 2.497 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 2.497 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 2.497 * [taylor]: Taking taylor expansion of 1.0 in k 2.497 * [taylor]: Taking taylor expansion of (log 2.0) in k 2.497 * [taylor]: Taking taylor expansion of 2.0 in k 2.497 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in k 2.497 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 2.497 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 2.497 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 2.497 * [taylor]: Taking taylor expansion of 1.0 in k 2.497 * [taylor]: Taking taylor expansion of (log n) in k 2.497 * [taylor]: Taking taylor expansion of n in k 2.497 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 2.497 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 2.497 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 2.497 * [taylor]: Taking taylor expansion of 1.0 in k 2.497 * [taylor]: Taking taylor expansion of (log PI) in k 2.497 * [taylor]: Taking taylor expansion of PI in k 2.498 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))) in k 2.498 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 k)) in k 2.498 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 k) (log (* 2.0 (* n PI))))) in k 2.498 * [taylor]: Taking taylor expansion of (* (* 0.5 k) (log (* 2.0 (* n PI)))) in k 2.498 * [taylor]: Taking taylor expansion of (* 0.5 k) in k 2.498 * [taylor]: Taking taylor expansion of 0.5 in k 2.498 * [taylor]: Taking taylor expansion of k in k 2.498 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 2.498 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 2.498 * [taylor]: Taking taylor expansion of 2.0 in k 2.498 * [taylor]: Taking taylor expansion of (* n PI) in k 2.498 * [taylor]: Taking taylor expansion of n in k 2.498 * [taylor]: Taking taylor expansion of PI in k 2.499 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k)))))) in n 2.499 * [taylor]: Taking taylor expansion of 1.0 in n 2.499 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))))) in n 2.499 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 2.499 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.499 * [taylor]: Taking taylor expansion of k in n 2.499 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k)))) in n 2.499 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 2.499 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 2.499 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 2.499 * [taylor]: Taking taylor expansion of 0.5 in n 2.499 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 2.499 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 2.499 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 2.499 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 2.499 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 2.499 * [taylor]: Taking taylor expansion of 1.0 in n 2.499 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.499 * [taylor]: Taking taylor expansion of 2.0 in n 2.499 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 2.499 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.499 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.499 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.499 * [taylor]: Taking taylor expansion of 1.0 in n 2.499 * [taylor]: Taking taylor expansion of (log n) in n 2.499 * [taylor]: Taking taylor expansion of n in n 2.499 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.499 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.499 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.499 * [taylor]: Taking taylor expansion of 1.0 in n 2.499 * [taylor]: Taking taylor expansion of (log PI) in n 2.499 * [taylor]: Taking taylor expansion of PI in n 2.500 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))) in n 2.500 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 k)) in n 2.500 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 k) (log (* 2.0 (* n PI))))) in n 2.500 * [taylor]: Taking taylor expansion of (* (* 0.5 k) (log (* 2.0 (* n PI)))) in n 2.500 * [taylor]: Taking taylor expansion of (* 0.5 k) in n 2.500 * [taylor]: Taking taylor expansion of 0.5 in n 2.500 * [taylor]: Taking taylor expansion of k in n 2.500 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 2.500 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.500 * [taylor]: Taking taylor expansion of 2.0 in n 2.500 * [taylor]: Taking taylor expansion of (* n PI) in n 2.500 * [taylor]: Taking taylor expansion of n in n 2.500 * [taylor]: Taking taylor expansion of PI in n 2.501 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k)))))) in n 2.501 * [taylor]: Taking taylor expansion of 1.0 in n 2.501 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))))) in n 2.501 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 2.501 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.501 * [taylor]: Taking taylor expansion of k in n 2.501 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k)))) in n 2.501 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 2.501 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 2.501 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 2.501 * [taylor]: Taking taylor expansion of 0.5 in n 2.501 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 2.501 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 2.501 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 2.501 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 2.501 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 2.501 * [taylor]: Taking taylor expansion of 1.0 in n 2.501 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.501 * [taylor]: Taking taylor expansion of 2.0 in n 2.501 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 2.501 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.501 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.501 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.501 * [taylor]: Taking taylor expansion of 1.0 in n 2.501 * [taylor]: Taking taylor expansion of (log n) in n 2.501 * [taylor]: Taking taylor expansion of n in n 2.502 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.502 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.502 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.502 * [taylor]: Taking taylor expansion of 1.0 in n 2.502 * [taylor]: Taking taylor expansion of (log PI) in n 2.502 * [taylor]: Taking taylor expansion of PI in n 2.503 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))) in n 2.503 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 k)) in n 2.503 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 k) (log (* 2.0 (* n PI))))) in n 2.503 * [taylor]: Taking taylor expansion of (* (* 0.5 k) (log (* 2.0 (* n PI)))) in n 2.503 * [taylor]: Taking taylor expansion of (* 0.5 k) in n 2.503 * [taylor]: Taking taylor expansion of 0.5 in n 2.503 * [taylor]: Taking taylor expansion of k in n 2.503 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 2.503 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.503 * [taylor]: Taking taylor expansion of 2.0 in n 2.503 * [taylor]: Taking taylor expansion of (* n PI) in n 2.503 * [taylor]: Taking taylor expansion of n in n 2.503 * [taylor]: Taking taylor expansion of PI in n 2.504 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (* (/ 1 (exp (* 0.5 (* k (+ (log (* 2.0 PI)) (log n)))))) (pow (* (pow PI 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow 2.0 1.0))) 0.5)))) in k 2.504 * [taylor]: Taking taylor expansion of 1.0 in k 2.504 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (/ 1 (exp (* 0.5 (* k (+ (log (* 2.0 PI)) (log n)))))) (pow (* (pow PI 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow 2.0 1.0))) 0.5))) in k 2.504 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 2.504 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.504 * [taylor]: Taking taylor expansion of k in k 2.504 * [taylor]: Taking taylor expansion of (* (/ 1 (exp (* 0.5 (* k (+ (log (* 2.0 PI)) (log n)))))) (pow (* (pow PI 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow 2.0 1.0))) 0.5)) in k 2.504 * [taylor]: Taking taylor expansion of (/ 1 (exp (* 0.5 (* k (+ (log (* 2.0 PI)) (log n)))))) in k 2.504 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* k (+ (log (* 2.0 PI)) (log n))))) in k 2.504 * [taylor]: Taking taylor expansion of (* 0.5 (* k (+ (log (* 2.0 PI)) (log n)))) in k 2.504 * [taylor]: Taking taylor expansion of 0.5 in k 2.504 * [taylor]: Taking taylor expansion of (* k (+ (log (* 2.0 PI)) (log n))) in k 2.504 * [taylor]: Taking taylor expansion of k in k 2.504 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 2.504 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 2.504 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 2.504 * [taylor]: Taking taylor expansion of 2.0 in k 2.504 * [taylor]: Taking taylor expansion of PI in k 2.504 * [taylor]: Taking taylor expansion of (log n) in k 2.505 * [taylor]: Taking taylor expansion of n in k 2.505 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow 2.0 1.0))) 0.5) in k 2.505 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow 2.0 1.0)))))) in k 2.505 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow 2.0 1.0))))) in k 2.505 * [taylor]: Taking taylor expansion of 0.5 in k 2.505 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow 2.0 1.0)))) in k 2.505 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow 2.0 1.0))) in k 2.505 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 2.505 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 2.505 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 2.505 * [taylor]: Taking taylor expansion of 1.0 in k 2.505 * [taylor]: Taking taylor expansion of (log PI) in k 2.505 * [taylor]: Taking taylor expansion of PI in k 2.505 * [taylor]: Taking taylor expansion of (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow 2.0 1.0)) in k 2.505 * [taylor]: Taking taylor expansion of (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) in k 2.505 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log (exp (* 1.0 (+ (log 1) (log n))))))) in k 2.505 * [taylor]: Taking taylor expansion of (* 1.0 (log (exp (* 1.0 (+ (log 1) (log n)))))) in k 2.505 * [taylor]: Taking taylor expansion of 1.0 in k 2.505 * [taylor]: Taking taylor expansion of (log (exp (* 1.0 (+ (log 1) (log n))))) in k 2.505 * [taylor]: Taking taylor expansion of (exp (* 1.0 (+ (log 1) (log n)))) in k 2.505 * [taylor]: Taking taylor expansion of (* 1.0 (+ (log 1) (log n))) in k 2.505 * [taylor]: Taking taylor expansion of 1.0 in k 2.505 * [taylor]: Taking taylor expansion of (+ (log 1) (log n)) in k 2.505 * [taylor]: Taking taylor expansion of (log 1) in k 2.505 * [taylor]: Taking taylor expansion of 1 in k 2.506 * [taylor]: Taking taylor expansion of (log n) in k 2.506 * [taylor]: Taking taylor expansion of n in k 2.506 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 2.506 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 2.506 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 2.506 * [taylor]: Taking taylor expansion of 1.0 in k 2.506 * [taylor]: Taking taylor expansion of (log 2.0) in k 2.506 * [taylor]: Taking taylor expansion of 2.0 in k 2.510 * [taylor]: Taking taylor expansion of 0 in k 2.519 * [taylor]: Taking taylor expansion of 0 in k 2.534 * [taylor]: Taking taylor expansion of 0 in k 2.561 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt k) (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k)))))) in (n k) around 0 2.561 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k)))))) in k 2.561 * [taylor]: Taking taylor expansion of 1.0 in k 2.561 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))))) in k 2.561 * [taylor]: Taking taylor expansion of (sqrt k) in k 2.561 * [taylor]: Taking taylor expansion of k in k 2.561 * [taylor]: Taking taylor expansion of (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k)))) in k 2.561 * [taylor]: Taking taylor expansion of (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in k 2.561 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in k 2.561 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in k 2.561 * [taylor]: Taking taylor expansion of 0.5 in k 2.561 * [taylor]: Taking taylor expansion of (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in k 2.561 * [taylor]: Taking taylor expansion of (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in k 2.561 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow PI 1.0)) in k 2.561 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 2.561 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 2.561 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 2.561 * [taylor]: Taking taylor expansion of 1.0 in k 2.561 * [taylor]: Taking taylor expansion of (log 2.0) in k 2.561 * [taylor]: Taking taylor expansion of 2.0 in k 2.561 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 2.561 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 2.561 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 2.561 * [taylor]: Taking taylor expansion of 1.0 in k 2.561 * [taylor]: Taking taylor expansion of (log PI) in k 2.561 * [taylor]: Taking taylor expansion of PI in k 2.561 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 2.561 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 2.561 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 2.561 * [taylor]: Taking taylor expansion of 1.0 in k 2.561 * [taylor]: Taking taylor expansion of (log n) in k 2.561 * [taylor]: Taking taylor expansion of n in k 2.562 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))) in k 2.562 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (/ 0.5 k)) in k 2.562 * [taylor]: Taking taylor expansion of (exp (* (/ 0.5 k) (log (* 2.0 (/ PI n))))) in k 2.562 * [taylor]: Taking taylor expansion of (* (/ 0.5 k) (log (* 2.0 (/ PI n)))) in k 2.562 * [taylor]: Taking taylor expansion of (/ 0.5 k) in k 2.562 * [taylor]: Taking taylor expansion of 0.5 in k 2.562 * [taylor]: Taking taylor expansion of k in k 2.562 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 2.562 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 2.562 * [taylor]: Taking taylor expansion of 2.0 in k 2.562 * [taylor]: Taking taylor expansion of (/ PI n) in k 2.562 * [taylor]: Taking taylor expansion of PI in k 2.562 * [taylor]: Taking taylor expansion of n in k 2.563 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k)))))) in n 2.563 * [taylor]: Taking taylor expansion of 1.0 in n 2.563 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))))) in n 2.563 * [taylor]: Taking taylor expansion of (sqrt k) in n 2.563 * [taylor]: Taking taylor expansion of k in n 2.563 * [taylor]: Taking taylor expansion of (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k)))) in n 2.563 * [taylor]: Taking taylor expansion of (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 2.563 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 2.563 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 2.563 * [taylor]: Taking taylor expansion of 0.5 in n 2.563 * [taylor]: Taking taylor expansion of (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 2.563 * [taylor]: Taking taylor expansion of (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 2.563 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow PI 1.0)) in n 2.563 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 2.563 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 2.563 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 2.563 * [taylor]: Taking taylor expansion of 1.0 in n 2.563 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.563 * [taylor]: Taking taylor expansion of 2.0 in n 2.563 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.563 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.563 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.563 * [taylor]: Taking taylor expansion of 1.0 in n 2.563 * [taylor]: Taking taylor expansion of (log PI) in n 2.563 * [taylor]: Taking taylor expansion of PI in n 2.563 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.563 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.563 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.563 * [taylor]: Taking taylor expansion of 1.0 in n 2.563 * [taylor]: Taking taylor expansion of (log n) in n 2.563 * [taylor]: Taking taylor expansion of n in n 2.564 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))) in n 2.564 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (/ 0.5 k)) in n 2.564 * [taylor]: Taking taylor expansion of (exp (* (/ 0.5 k) (log (* 2.0 (/ PI n))))) in n 2.564 * [taylor]: Taking taylor expansion of (* (/ 0.5 k) (log (* 2.0 (/ PI n)))) in n 2.564 * [taylor]: Taking taylor expansion of (/ 0.5 k) in n 2.564 * [taylor]: Taking taylor expansion of 0.5 in n 2.564 * [taylor]: Taking taylor expansion of k in n 2.564 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 2.565 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.565 * [taylor]: Taking taylor expansion of 2.0 in n 2.565 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.565 * [taylor]: Taking taylor expansion of PI in n 2.565 * [taylor]: Taking taylor expansion of n in n 2.565 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k)))))) in n 2.565 * [taylor]: Taking taylor expansion of 1.0 in n 2.565 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))))) in n 2.565 * [taylor]: Taking taylor expansion of (sqrt k) in n 2.565 * [taylor]: Taking taylor expansion of k in n 2.565 * [taylor]: Taking taylor expansion of (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k)))) in n 2.565 * [taylor]: Taking taylor expansion of (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 2.565 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 2.565 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 2.565 * [taylor]: Taking taylor expansion of 0.5 in n 2.565 * [taylor]: Taking taylor expansion of (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 2.565 * [taylor]: Taking taylor expansion of (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 2.565 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow PI 1.0)) in n 2.565 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 2.565 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 2.565 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 2.565 * [taylor]: Taking taylor expansion of 1.0 in n 2.565 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.565 * [taylor]: Taking taylor expansion of 2.0 in n 2.565 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.565 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.565 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.565 * [taylor]: Taking taylor expansion of 1.0 in n 2.565 * [taylor]: Taking taylor expansion of (log PI) in n 2.565 * [taylor]: Taking taylor expansion of PI in n 2.565 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.565 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.566 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.566 * [taylor]: Taking taylor expansion of 1.0 in n 2.566 * [taylor]: Taking taylor expansion of (log n) in n 2.566 * [taylor]: Taking taylor expansion of n in n 2.566 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))) in n 2.567 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (/ 0.5 k)) in n 2.567 * [taylor]: Taking taylor expansion of (exp (* (/ 0.5 k) (log (* 2.0 (/ PI n))))) in n 2.567 * [taylor]: Taking taylor expansion of (* (/ 0.5 k) (log (* 2.0 (/ PI n)))) in n 2.567 * [taylor]: Taking taylor expansion of (/ 0.5 k) in n 2.567 * [taylor]: Taking taylor expansion of 0.5 in n 2.567 * [taylor]: Taking taylor expansion of k in n 2.567 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 2.567 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.567 * [taylor]: Taking taylor expansion of 2.0 in n 2.567 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.567 * [taylor]: Taking taylor expansion of PI in n 2.567 * [taylor]: Taking taylor expansion of n in n 2.568 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (* (/ 1 (exp (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k)))) (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0)) 0.5)))) in k 2.568 * [taylor]: Taking taylor expansion of 1.0 in k 2.568 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (/ 1 (exp (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k)))) (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0)) 0.5))) in k 2.568 * [taylor]: Taking taylor expansion of (sqrt k) in k 2.568 * [taylor]: Taking taylor expansion of k in k 2.568 * [taylor]: Taking taylor expansion of (* (/ 1 (exp (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k)))) (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0)) 0.5)) in k 2.568 * [taylor]: Taking taylor expansion of (/ 1 (exp (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k)))) in k 2.568 * [taylor]: Taking taylor expansion of (exp (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k))) in k 2.568 * [taylor]: Taking taylor expansion of (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k)) in k 2.568 * [taylor]: Taking taylor expansion of 0.5 in k 2.568 * [taylor]: Taking taylor expansion of (/ (- (log (* 2.0 PI)) (log n)) k) in k 2.568 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 2.568 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 2.568 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 2.568 * [taylor]: Taking taylor expansion of 2.0 in k 2.568 * [taylor]: Taking taylor expansion of PI in k 2.568 * [taylor]: Taking taylor expansion of (log n) in k 2.568 * [taylor]: Taking taylor expansion of n in k 2.569 * [taylor]: Taking taylor expansion of k in k 2.569 * [taylor]: Taking taylor expansion of (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0)) 0.5) in k 2.569 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0))))) in k 2.569 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0)))) in k 2.569 * [taylor]: Taking taylor expansion of 0.5 in k 2.569 * [taylor]: Taking taylor expansion of (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0))) in k 2.569 * [taylor]: Taking taylor expansion of (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0)) in k 2.569 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow 2.0 1.0)) in k 2.569 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 2.569 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 2.569 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 2.569 * [taylor]: Taking taylor expansion of 1.0 in k 2.569 * [taylor]: Taking taylor expansion of (log PI) in k 2.569 * [taylor]: Taking taylor expansion of PI in k 2.569 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 2.569 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 2.569 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 2.569 * [taylor]: Taking taylor expansion of 1.0 in k 2.569 * [taylor]: Taking taylor expansion of (log 2.0) in k 2.569 * [taylor]: Taking taylor expansion of 2.0 in k 2.569 * [taylor]: Taking taylor expansion of (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) in k 2.569 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log (exp (* 1.0 (+ (log 1) (log n))))))) in k 2.569 * [taylor]: Taking taylor expansion of (* 1.0 (log (exp (* 1.0 (+ (log 1) (log n)))))) in k 2.569 * [taylor]: Taking taylor expansion of 1.0 in k 2.569 * [taylor]: Taking taylor expansion of (log (exp (* 1.0 (+ (log 1) (log n))))) in k 2.569 * [taylor]: Taking taylor expansion of (exp (* 1.0 (+ (log 1) (log n)))) in k 2.569 * [taylor]: Taking taylor expansion of (* 1.0 (+ (log 1) (log n))) in k 2.569 * [taylor]: Taking taylor expansion of 1.0 in k 2.569 * [taylor]: Taking taylor expansion of (+ (log 1) (log n)) in k 2.569 * [taylor]: Taking taylor expansion of (log 1) in k 2.569 * [taylor]: Taking taylor expansion of 1 in k 2.569 * [taylor]: Taking taylor expansion of (log n) in k 2.569 * [taylor]: Taking taylor expansion of n in k 2.575 * [taylor]: Taking taylor expansion of 0 in k 2.583 * [taylor]: Taking taylor expansion of 0 in k 2.595 * [taylor]: Taking taylor expansion of 0 in k 2.604 * [approximate]: Taking taylor expansion of (* 1.0 (* (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5))) in (n k) around 0 2.604 * [taylor]: Taking taylor expansion of (* 1.0 (* (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5))) in k 2.604 * [taylor]: Taking taylor expansion of 1.0 in k 2.604 * [taylor]: Taking taylor expansion of (* (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5)) in k 2.605 * [taylor]: Taking taylor expansion of (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) in k 2.605 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k))) in k 2.605 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 2.605 * [taylor]: Taking taylor expansion of (/ -1 k) in k 2.605 * [taylor]: Taking taylor expansion of -1 in k 2.605 * [taylor]: Taking taylor expansion of k in k 2.605 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (/ -0.5 k)) in k 2.605 * [taylor]: Taking taylor expansion of (exp (* (/ -0.5 k) (log (* -2.0 (/ PI n))))) in k 2.605 * [taylor]: Taking taylor expansion of (* (/ -0.5 k) (log (* -2.0 (/ PI n)))) in k 2.605 * [taylor]: Taking taylor expansion of (/ -0.5 k) in k 2.605 * [taylor]: Taking taylor expansion of -0.5 in k 2.605 * [taylor]: Taking taylor expansion of k in k 2.605 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 2.605 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 2.605 * [taylor]: Taking taylor expansion of -2.0 in k 2.605 * [taylor]: Taking taylor expansion of (/ PI n) in k 2.605 * [taylor]: Taking taylor expansion of PI in k 2.605 * [taylor]: Taking taylor expansion of n in k 2.605 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in k 2.605 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in k 2.605 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in k 2.605 * [taylor]: Taking taylor expansion of 0.5 in k 2.605 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in k 2.605 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in k 2.605 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in k 2.605 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in k 2.605 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in k 2.605 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in k 2.605 * [taylor]: Taking taylor expansion of 1.0 in k 2.605 * [taylor]: Taking taylor expansion of (log -2.0) in k 2.605 * [taylor]: Taking taylor expansion of -2.0 in k 2.606 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 2.606 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 2.606 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 2.606 * [taylor]: Taking taylor expansion of 1.0 in k 2.606 * [taylor]: Taking taylor expansion of (log PI) in k 2.606 * [taylor]: Taking taylor expansion of PI in k 2.606 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 2.606 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 2.606 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 2.606 * [taylor]: Taking taylor expansion of 1.0 in k 2.606 * [taylor]: Taking taylor expansion of (log n) in k 2.606 * [taylor]: Taking taylor expansion of n in k 2.607 * [taylor]: Taking taylor expansion of (* 1.0 (* (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5))) in n 2.607 * [taylor]: Taking taylor expansion of 1.0 in n 2.607 * [taylor]: Taking taylor expansion of (* (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5)) in n 2.607 * [taylor]: Taking taylor expansion of (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) in n 2.607 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k))) in n 2.607 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 2.607 * [taylor]: Taking taylor expansion of (/ -1 k) in n 2.607 * [taylor]: Taking taylor expansion of -1 in n 2.607 * [taylor]: Taking taylor expansion of k in n 2.607 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (/ -0.5 k)) in n 2.607 * [taylor]: Taking taylor expansion of (exp (* (/ -0.5 k) (log (* -2.0 (/ PI n))))) in n 2.607 * [taylor]: Taking taylor expansion of (* (/ -0.5 k) (log (* -2.0 (/ PI n)))) in n 2.607 * [taylor]: Taking taylor expansion of (/ -0.5 k) in n 2.607 * [taylor]: Taking taylor expansion of -0.5 in n 2.607 * [taylor]: Taking taylor expansion of k in n 2.607 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 2.607 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.607 * [taylor]: Taking taylor expansion of -2.0 in n 2.607 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.607 * [taylor]: Taking taylor expansion of PI in n 2.607 * [taylor]: Taking taylor expansion of n in n 2.608 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 2.608 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 2.608 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 2.608 * [taylor]: Taking taylor expansion of 0.5 in n 2.608 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 2.608 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 2.608 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in n 2.608 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in n 2.608 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in n 2.608 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in n 2.608 * [taylor]: Taking taylor expansion of 1.0 in n 2.608 * [taylor]: Taking taylor expansion of (log -2.0) in n 2.608 * [taylor]: Taking taylor expansion of -2.0 in n 2.608 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.608 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.608 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.608 * [taylor]: Taking taylor expansion of 1.0 in n 2.608 * [taylor]: Taking taylor expansion of (log PI) in n 2.608 * [taylor]: Taking taylor expansion of PI in n 2.608 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.608 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.608 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.608 * [taylor]: Taking taylor expansion of 1.0 in n 2.608 * [taylor]: Taking taylor expansion of (log n) in n 2.608 * [taylor]: Taking taylor expansion of n in n 2.609 * [taylor]: Taking taylor expansion of (* 1.0 (* (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5))) in n 2.609 * [taylor]: Taking taylor expansion of 1.0 in n 2.609 * [taylor]: Taking taylor expansion of (* (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5)) in n 2.609 * [taylor]: Taking taylor expansion of (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) in n 2.609 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k))) in n 2.609 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 2.609 * [taylor]: Taking taylor expansion of (/ -1 k) in n 2.609 * [taylor]: Taking taylor expansion of -1 in n 2.609 * [taylor]: Taking taylor expansion of k in n 2.609 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (/ -0.5 k)) in n 2.609 * [taylor]: Taking taylor expansion of (exp (* (/ -0.5 k) (log (* -2.0 (/ PI n))))) in n 2.609 * [taylor]: Taking taylor expansion of (* (/ -0.5 k) (log (* -2.0 (/ PI n)))) in n 2.609 * [taylor]: Taking taylor expansion of (/ -0.5 k) in n 2.609 * [taylor]: Taking taylor expansion of -0.5 in n 2.609 * [taylor]: Taking taylor expansion of k in n 2.609 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 2.609 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.610 * [taylor]: Taking taylor expansion of -2.0 in n 2.610 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.610 * [taylor]: Taking taylor expansion of PI in n 2.610 * [taylor]: Taking taylor expansion of n in n 2.610 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 2.610 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 2.610 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 2.610 * [taylor]: Taking taylor expansion of 0.5 in n 2.610 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 2.610 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 2.610 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in n 2.610 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in n 2.610 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in n 2.610 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in n 2.610 * [taylor]: Taking taylor expansion of 1.0 in n 2.610 * [taylor]: Taking taylor expansion of (log -2.0) in n 2.610 * [taylor]: Taking taylor expansion of -2.0 in n 2.610 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.610 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.610 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.610 * [taylor]: Taking taylor expansion of 1.0 in n 2.610 * [taylor]: Taking taylor expansion of (log PI) in n 2.610 * [taylor]: Taking taylor expansion of PI in n 2.610 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.610 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.610 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.610 * [taylor]: Taking taylor expansion of 1.0 in n 2.610 * [taylor]: Taking taylor expansion of (log n) in n 2.610 * [taylor]: Taking taylor expansion of n in n 2.612 * [taylor]: Taking taylor expansion of (* 1.0 (* (/ 1 (* (exp (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k))) (sqrt (/ -1 k)))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0)) 0.5))) in k 2.612 * [taylor]: Taking taylor expansion of 1.0 in k 2.612 * [taylor]: Taking taylor expansion of (* (/ 1 (* (exp (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k))) (sqrt (/ -1 k)))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0)) 0.5)) in k 2.612 * [taylor]: Taking taylor expansion of (/ 1 (* (exp (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k))) (sqrt (/ -1 k)))) in k 2.612 * [taylor]: Taking taylor expansion of (* (exp (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k))) (sqrt (/ -1 k))) in k 2.612 * [taylor]: Taking taylor expansion of (exp (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k))) in k 2.612 * [taylor]: Taking taylor expansion of (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k)) in k 2.612 * [taylor]: Taking taylor expansion of -0.5 in k 2.612 * [taylor]: Taking taylor expansion of (/ (- (log (* -2.0 PI)) (log n)) k) in k 2.612 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 2.612 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 2.612 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 2.612 * [taylor]: Taking taylor expansion of -2.0 in k 2.612 * [taylor]: Taking taylor expansion of PI in k 2.612 * [taylor]: Taking taylor expansion of (log n) in k 2.612 * [taylor]: Taking taylor expansion of n in k 2.612 * [taylor]: Taking taylor expansion of k in k 2.613 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 2.613 * [taylor]: Taking taylor expansion of (/ -1 k) in k 2.613 * [taylor]: Taking taylor expansion of -1 in k 2.613 * [taylor]: Taking taylor expansion of k in k 2.613 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0)) 0.5) in k 2.613 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0))))) in k 2.613 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0)))) in k 2.613 * [taylor]: Taking taylor expansion of 0.5 in k 2.613 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0))) in k 2.613 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0)) in k 2.613 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in k 2.613 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in k 2.613 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in k 2.613 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in k 2.613 * [taylor]: Taking taylor expansion of 1.0 in k 2.613 * [taylor]: Taking taylor expansion of (log -2.0) in k 2.613 * [taylor]: Taking taylor expansion of -2.0 in k 2.613 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 2.613 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 2.613 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 2.613 * [taylor]: Taking taylor expansion of 1.0 in k 2.613 * [taylor]: Taking taylor expansion of (log PI) in k 2.613 * [taylor]: Taking taylor expansion of PI in k 2.614 * [taylor]: Taking taylor expansion of (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) in k 2.614 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log (exp (* 1.0 (+ (log 1) (log n))))))) in k 2.614 * [taylor]: Taking taylor expansion of (* 1.0 (log (exp (* 1.0 (+ (log 1) (log n)))))) in k 2.614 * [taylor]: Taking taylor expansion of 1.0 in k 2.614 * [taylor]: Taking taylor expansion of (log (exp (* 1.0 (+ (log 1) (log n))))) in k 2.614 * [taylor]: Taking taylor expansion of (exp (* 1.0 (+ (log 1) (log n)))) in k 2.614 * [taylor]: Taking taylor expansion of (* 1.0 (+ (log 1) (log n))) in k 2.614 * [taylor]: Taking taylor expansion of 1.0 in k 2.614 * [taylor]: Taking taylor expansion of (+ (log 1) (log n)) in k 2.614 * [taylor]: Taking taylor expansion of (log 1) in k 2.614 * [taylor]: Taking taylor expansion of 1 in k 2.614 * [taylor]: Taking taylor expansion of (log n) in k 2.614 * [taylor]: Taking taylor expansion of n in k 2.619 * [taylor]: Taking taylor expansion of 0 in k 2.628 * [taylor]: Taking taylor expansion of 0 in k 2.641 * [taylor]: Taking taylor expansion of 0 in k 2.642 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2 1) 2.642 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 2.642 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.643 * [taylor]: Taking taylor expansion of 2.0 in n 2.643 * [taylor]: Taking taylor expansion of (* n PI) in n 2.643 * [taylor]: Taking taylor expansion of n in n 2.643 * [taylor]: Taking taylor expansion of PI in n 2.643 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.643 * [taylor]: Taking taylor expansion of 2.0 in n 2.643 * [taylor]: Taking taylor expansion of (* n PI) in n 2.643 * [taylor]: Taking taylor expansion of n in n 2.643 * [taylor]: Taking taylor expansion of PI in n 2.644 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 2.644 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.644 * [taylor]: Taking taylor expansion of 2.0 in n 2.644 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.644 * [taylor]: Taking taylor expansion of PI in n 2.644 * [taylor]: Taking taylor expansion of n in n 2.644 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.644 * [taylor]: Taking taylor expansion of 2.0 in n 2.644 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.644 * [taylor]: Taking taylor expansion of PI in n 2.644 * [taylor]: Taking taylor expansion of n in n 2.645 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 2.645 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.645 * [taylor]: Taking taylor expansion of -2.0 in n 2.645 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.645 * [taylor]: Taking taylor expansion of PI in n 2.645 * [taylor]: Taking taylor expansion of n in n 2.645 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.645 * [taylor]: Taking taylor expansion of -2.0 in n 2.645 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.645 * [taylor]: Taking taylor expansion of PI in n 2.645 * [taylor]: Taking taylor expansion of n in n 2.646 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2 2 1 1) 2.646 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 2.646 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.646 * [taylor]: Taking taylor expansion of 2.0 in n 2.646 * [taylor]: Taking taylor expansion of (* n PI) in n 2.646 * [taylor]: Taking taylor expansion of n in n 2.646 * [taylor]: Taking taylor expansion of PI in n 2.646 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.646 * [taylor]: Taking taylor expansion of 2.0 in n 2.646 * [taylor]: Taking taylor expansion of (* n PI) in n 2.646 * [taylor]: Taking taylor expansion of n in n 2.646 * [taylor]: Taking taylor expansion of PI in n 2.647 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 2.647 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.647 * [taylor]: Taking taylor expansion of 2.0 in n 2.647 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.647 * [taylor]: Taking taylor expansion of PI in n 2.647 * [taylor]: Taking taylor expansion of n in n 2.647 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.647 * [taylor]: Taking taylor expansion of 2.0 in n 2.647 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.647 * [taylor]: Taking taylor expansion of PI in n 2.647 * [taylor]: Taking taylor expansion of n in n 2.648 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 2.648 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.648 * [taylor]: Taking taylor expansion of -2.0 in n 2.648 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.648 * [taylor]: Taking taylor expansion of PI in n 2.648 * [taylor]: Taking taylor expansion of n in n 2.648 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.648 * [taylor]: Taking taylor expansion of -2.0 in n 2.648 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.648 * [taylor]: Taking taylor expansion of PI in n 2.648 * [taylor]: Taking taylor expansion of n in n 2.649 * * * [progress]: simplifying candidates 2.651 * [simplify]: Simplifying using # : (+ 1/2 1/2) (+ 1 1) (+ (/ (/ 1.0 2.0) 2) (/ (/ 1.0 2.0) 2)) (* (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (* (* (* 2.0 PI) n) (* (* 2.0 PI) n)) (+ 1 1) (+ (log (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (log (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))))) (log (* (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))))) (exp (* (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))))) (* (* (* (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (* (* (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))))) (* (cbrt (* (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))))) (cbrt (* (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))))) (cbrt (* (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))))) (* (* (* (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (* (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))))) (* (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))))) (* (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt (* (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))))) (sqrt (* (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))))) (* (* (cbrt (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (cbrt (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))))) (* (cbrt (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (cbrt (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))))) (* (cbrt (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (cbrt (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))))) (* (sqrt (pow (* 2.0 PI) (/ 1.0 2.0))) (sqrt (pow (* 2.0 PI) (/ 1.0 2.0)))) (* (sqrt (pow n (/ 1.0 2.0))) (sqrt (pow n (/ 1.0 2.0)))) (* (sqrt (* (cbrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))))) (sqrt (* (cbrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))))) (* (sqrt (cbrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (sqrt (cbrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))))) (* (sqrt (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (sqrt (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))))) (* (sqrt (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (sqrt (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))))) (* (sqrt (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (sqrt (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))))) (* (sqrt (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (sqrt (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))))) (* (sqrt 1) (sqrt 1)) (* (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (* (sqrt (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2))) (sqrt (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)))) (* (sqrt (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2))) (sqrt (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)))) (* (sqrt (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (sqrt (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))))) (* (sqrt (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (sqrt (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))))) (* (sqrt (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (sqrt (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))))) (* (sqrt (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (sqrt (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))))) (* 1 1) (* (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (* (sqrt (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (sqrt (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))))) (* (sqrt (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (sqrt (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))))) (* (sqrt (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (sqrt (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)))) (* (sqrt (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (sqrt (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)))) (* (sqrt (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (sqrt (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))))) (* (sqrt (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (sqrt (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))))) (* (sqrt (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2))) (sqrt (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))))) (* (sqrt (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2))) (sqrt (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))))) (* (sqrt (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2))) (sqrt (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)))) (* (sqrt (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2))) (sqrt (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)))) (* (sqrt (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2))) (sqrt (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))))) (* (sqrt (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2))) (sqrt (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))))) (* (sqrt (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (sqrt (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))))) (* (sqrt (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (sqrt (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))))) (* (sqrt (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (sqrt (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)))) (* (sqrt (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (sqrt (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)))) (* (sqrt (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (sqrt (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))))) (* (sqrt (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (sqrt (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))))) (* 2 1/2) (* 2 1) (* 2 (/ (/ 1.0 2.0) 2)) (* (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (cbrt (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (cbrt (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))))) (* (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt (pow (* 2.0 PI) (/ 1.0 2.0)))) (* (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt (* (cbrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))))) (* (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))))) (* (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt 1)) (* (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)))) (* (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))))) (* (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) 1) (* (cbrt (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (* (sqrt (pow n (/ 1.0 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (* (sqrt (cbrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (* (sqrt (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (* (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (* (sqrt (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (* (sqrt (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (* (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (- (+ (log 1.0) (+ (log (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (log (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))))) (+ (log (sqrt k)) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ k 2.0)))) (- (+ (log 1.0) (+ (log (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (log (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))))) (+ (log (sqrt k)) (* (+ (log (* 2.0 PI)) (log n)) (/ k 2.0)))) (- (+ (log 1.0) (+ (log (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (log (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))))) (+ (log (sqrt k)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)))) (- (+ (log 1.0) (+ (log (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (log (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))))) (+ (log (sqrt k)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)))) (- (+ (log 1.0) (+ (log (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (log (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))))) (+ (log (sqrt k)) (log (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (+ (log 1.0) (+ (log (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (log (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))))) (log (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (+ (log 1.0) (log (* (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))))) (+ (log (sqrt k)) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ k 2.0)))) (- (+ (log 1.0) (log (* (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))))) (+ (log (sqrt k)) (* (+ (log (* 2.0 PI)) (log n)) (/ k 2.0)))) (- (+ (log 1.0) (log (* (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))))) (+ (log (sqrt k)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)))) (- (+ (log 1.0) (log (* (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))))) (+ (log (sqrt k)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)))) (- (+ (log 1.0) (log (* (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))))) (+ (log (sqrt k)) (log (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (+ (log 1.0) (log (* (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))))) (log (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (log (* 1.0 (* (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))))) (+ (log (sqrt k)) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ k 2.0)))) (- (log (* 1.0 (* (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))))) (+ (log (sqrt k)) (* (+ (log (* 2.0 PI)) (log n)) (/ k 2.0)))) (- (log (* 1.0 (* (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))))) (+ (log (sqrt k)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)))) (- (log (* 1.0 (* (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))))) (+ (log (sqrt k)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)))) (- (log (* 1.0 (* (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))))) (+ (log (sqrt k)) (log (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (log (* 1.0 (* (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))))) (log (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (* (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (exp (/ (* 1.0 (* (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (/ (* (* (* 1.0 1.0) 1.0) (* (* (* (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (* (* (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))))) (* (* (* (sqrt k) (sqrt k)) (sqrt k)) (* (* (pow (* (* 2.0 PI) n) (/ k 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0))) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (/ (* (* (* 1.0 1.0) 1.0) (* (* (* (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (* (* (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))))) (* (* (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (/ (* (* (* 1.0 1.0) 1.0) (* (* (* (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (* (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))))) (* (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))))) (* (* (* (sqrt k) (sqrt k)) (sqrt k)) (* (* (pow (* (* 2.0 PI) n) (/ k 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0))) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (/ (* (* (* 1.0 1.0) 1.0) (* (* (* (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (* (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))))) (* (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))))) (* (* (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (/ (* (* (* 1.0 (* (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))))) (* 1.0 (* (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))))) (* 1.0 (* (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))))) (* (* (* (sqrt k) (sqrt k)) (sqrt k)) (* (* (pow (* (* 2.0 PI) n) (/ k 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0))) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (/ (* (* (* 1.0 (* (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))))) (* 1.0 (* (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))))) (* 1.0 (* (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))))) (* (* (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (* (cbrt (/ (* 1.0 (* (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (cbrt (/ (* 1.0 (* (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))))) (cbrt (/ (* 1.0 (* (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (* (* (/ (* 1.0 (* (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (/ (* 1.0 (* (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (/ (* 1.0 (* (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (sqrt (/ (* 1.0 (* (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (sqrt (/ (* 1.0 (* (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (neg (* 1.0 (* (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))))) (neg (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (/ 1.0 (sqrt k)) (/ (* (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (pow (* (* 2.0 PI) n) (/ k 2.0))) (/ 1 (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (/ (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (* 1.0 (* (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))))) (/ (* 1.0 (* (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))))) (sqrt k)) (/ (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (* (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))))) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (+ (+ (log 2.0) (log PI)) (log n)) (+ (log (* 2.0 PI)) (log n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (* (* (* (* 2.0 2.0) 2.0) (* (* PI PI) PI)) (* (* n n) n)) (* (* (* (* 2.0 PI) (* 2.0 PI)) (* 2.0 PI)) (* (* n n) n)) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (* (* (* (* 2.0 PI) n) (* (* 2.0 PI) n)) (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* (* 2.0 PI) 1) (* PI n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (+ (+ (log 2.0) (log PI)) (log n)) (+ (log (* 2.0 PI)) (log n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (* (* (* (* 2.0 2.0) 2.0) (* (* PI PI) PI)) (* (* n n) n)) (* (* (* (* 2.0 PI) (* 2.0 PI)) (* 2.0 PI)) (* (* n n) n)) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (* (* (* (* 2.0 PI) n) (* (* 2.0 PI) n)) (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* (* 2.0 PI) 1) (* PI n) (pow (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 1.0) (exp (* 1.0 (+ (log 1) (log n))))) 0.5) (pow (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 1.0) (/ 1 (exp (* 1.0 (+ (log 1) (log (/ 1 n))))))) 0.5) (pow (* (/ 1 (exp (* 1.0 (+ (log 1) (log (/ -1 n)))))) (pow (* (pow -2.0 1.0) (pow PI 1.0)) 1.0)) 0.5) (- (+ (* 0.125 (* (* (pow k 2) (* (pow (log (* 2.0 PI)) 2) NAN)) (pow (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) 0.5))) (+ (* 1.0 (* (* k (pow NAN 3)) (pow (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) 0.5))) (+ (* 0.25 (* (* NAN (* (pow k 2) (* (log (* 2.0 PI)) (log n)))) (pow (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) 0.5))) (+ (* 1.0 (* (* (pow k 2) (pow NAN 5)) (pow (* (pow 2.0 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow PI 1.0))) 0.5))) (+ (* 0.125 (* (* (pow k 2) (* NAN (pow (log n) 2))) (pow (* (pow 2.0 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow PI 1.0))) 0.5))) (* 1.0 (* NAN (pow (* (pow PI 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow 2.0 1.0))) 0.5)))))))) (+ (* 0.5 (* (* k (* NAN (log n))) (pow (* (pow 2.0 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow PI 1.0))) 0.5))) (+ (* 0.5 (* (* (pow k 2) (* (log (* 2.0 PI)) (pow NAN 3))) (pow (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) 0.5))) (+ (* 0.5 (* (* k (* (log (* 2.0 PI)) NAN)) (pow (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) 0.5))) (* 0.5 (* (* (pow k 2) (* (pow NAN 3) (log n))) (pow (* (pow 2.0 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow PI 1.0))) 0.5))))))) (+ (* 1.0 (* (/ (pow NAN 5) (* (pow k 3) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) k))))) (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow (exp (* 1.0 (+ (log 1) (log (/ 1 n))))) 1.0)) 0.5))) (+ (* 1.0 (* (/ (pow NAN 3) (* (pow k 2) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) k))))) (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow (exp (* 1.0 (+ (log 1) (log (/ 1 n))))) 1.0)) 0.5))) (* 1.0 (* (/ NAN (* k (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) k))))) (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow (exp (* 1.0 (+ (log 1) (log (/ 1 n))))) 1.0)) 0.5))))) (+ (* 1.0 (* (/ NAN (* (exp (* 0.5 (* k (- (log (* -2.0 PI)) (log (/ -1 n)))))) k)) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow (exp (* 1.0 (+ (log 1) (log (/ -1 n))))) 1.0)) 0.5))) (* 1.0 (* (/ 1 (* (exp (* 0.5 (* k (- (log (* -2.0 PI)) (log (/ -1 n)))))) NAN)) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow (exp (* 1.0 (+ (log 1) (log (/ -1 n))))) 1.0)) 0.5)))) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) 2.663 * * [simplify]: iteration 0 : 914 enodes (cost 1861 ) 2.680 * * [simplify]: iteration 1 : 4641 enodes (cost 1418 ) 2.768 * * [simplify]: iteration 2 : 5001 enodes (cost 1398 ) 2.776 * [simplify]: Simplified to: 1 2 (* 2 (/ (/ 1.0 2.0) 2)) (pow (* (* 2.0 PI) n) (* 2 (/ 1.0 2.0))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (* (* (* 2.0 PI) n) (* (* 2.0 PI) n)) 2 (* (/ 1.0 2.0) (log (* 2.0 (* n PI)))) (* (/ 1.0 2.0) (log (* 2.0 (* n PI)))) (pow (exp 1) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (pow (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) 3) (* (cbrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (cbrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (pow (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) 3) (pow (* (* 2.0 PI) n) (* 2 (/ 1.0 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (pow (cbrt (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) 4) (* (cbrt (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (cbrt (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))))) (pow (* 2.0 PI) (/ 1.0 2.0)) (pow n (/ 1.0 2.0)) (* (cbrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (cbrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) 1 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) 1 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (sqrt (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)))) (* (sqrt (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (sqrt (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (sqrt (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)))) (* (sqrt (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (sqrt (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)))) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (* (sqrt (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (sqrt (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)))) (* (sqrt (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (sqrt (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (sqrt (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)))) (* (sqrt (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (sqrt (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) 1 2 (* 2 (/ (/ 1.0 2.0) 2)) (* (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (cbrt (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (cbrt (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))))) (* (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt (pow (* 2.0 PI) (/ 1.0 2.0)))) (* (fabs (cbrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (pow (sqrt (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) 3) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)))) (pow (sqrt (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) 3) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (cbrt (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (* (sqrt (pow n (/ 1.0 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (* (sqrt (cbrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (pow (sqrt (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) 3) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (* (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)))) (pow (sqrt (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) 3) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (- (log (/ 1.0 (/ (sqrt k) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))))) (* (log (* (* 2.0 PI) n)) (/ k 2.0))) (- (log (/ 1.0 (/ (sqrt k) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))))) (* (log (* (* 2.0 PI) n)) (/ k 2.0))) (- (log (/ 1.0 (/ (sqrt k) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))))) (* (log (* (* 2.0 PI) n)) (/ k 2.0))) (- (log (/ 1.0 (/ (sqrt k) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))))) (* (log (* (* 2.0 PI) n)) (/ k 2.0))) (- (log (/ 1.0 (/ (sqrt k) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))))) (* (log (* (* 2.0 PI) n)) (/ k 2.0))) (- (log (/ 1.0 (/ (sqrt k) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))))) (* (log (* (* 2.0 PI) n)) (/ k 2.0))) (- (log (/ 1.0 (/ (sqrt k) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))))) (* (log (* (* 2.0 PI) n)) (/ k 2.0))) (- (log (/ 1.0 (/ (sqrt k) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))))) (* (log (* (* 2.0 PI) n)) (/ k 2.0))) (- (log (/ 1.0 (/ (sqrt k) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))))) (* (log (* (* 2.0 PI) n)) (/ k 2.0))) (- (log (/ 1.0 (/ (sqrt k) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))))) (* (log (* (* 2.0 PI) n)) (/ k 2.0))) (- (log (/ 1.0 (/ (sqrt k) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))))) (* (log (* (* 2.0 PI) n)) (/ k 2.0))) (- (log (/ 1.0 (/ (sqrt k) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))))) (* (log (* (* 2.0 PI) n)) (/ k 2.0))) (- (log (/ 1.0 (/ (sqrt k) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))))) (* (log (* (* 2.0 PI) n)) (/ k 2.0))) (- (log (/ 1.0 (/ (sqrt k) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))))) (* (log (* (* 2.0 PI) n)) (/ k 2.0))) (- (log (/ 1.0 (/ (sqrt k) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))))) (* (log (* (* 2.0 PI) n)) (/ k 2.0))) (- (log (/ 1.0 (/ (sqrt k) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))))) (* (log (* (* 2.0 PI) n)) (/ k 2.0))) (- (log (/ 1.0 (/ (sqrt k) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))))) (* (log (* (* 2.0 PI) n)) (/ k 2.0))) (- (log (/ 1.0 (/ (sqrt k) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))))) (* (log (* (* 2.0 PI) n)) (/ k 2.0))) (- (log (/ 1.0 (/ (sqrt k) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))))) (* (log (* (* 2.0 PI) n)) (/ k 2.0))) (pow (exp (/ 1.0 (pow (* (* 2.0 PI) n) (/ k 2.0)))) (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (sqrt k))) (/ (pow (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) 3) (/ (pow (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) 3) (pow 1.0 3))) (/ (pow (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) 3) (/ (pow (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) 3) (pow 1.0 3))) (/ (pow (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) 3) (/ (pow (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) 3) (pow 1.0 3))) (/ (pow (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) 3) (/ (pow (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) 3) (pow 1.0 3))) (/ (pow (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) 3) (/ (pow (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) 3) (pow 1.0 3))) (/ (pow (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) 3) (/ (pow (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) 3) (pow 1.0 3))) (* (cbrt (/ (* 1.0 (* (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (cbrt (/ (* 1.0 (* (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))))) (cbrt (/ (* 1.0 (* (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (/ (pow (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) 3) (/ (pow (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) 3) (pow 1.0 3))) (sqrt (/ (* 1.0 (* (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (sqrt (/ (* 1.0 (* (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (* (neg 1.0) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (neg (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (/ 1.0 (sqrt k)) (/ (* (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (pow (* (* 2.0 PI) n) (/ k 2.0))) (/ 1 (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (* (/ (sqrt k) 1.0) (/ (pow (* (* 2.0 PI) n) (/ k 2.0)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (/ 1.0 (/ (sqrt k) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (/ (pow (* (* 2.0 PI) n) (/ k 2.0)) (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (sqrt k))) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (pow (* 2.0 (* n PI)) 3) (pow (* 2.0 (* n PI)) 3) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (pow (* 2.0 (* n PI)) 3) (sqrt (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* 2.0 PI) (* PI n) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (pow (* 2.0 (* n PI)) 3) (pow (* 2.0 (* n PI)) 3) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (pow (* 2.0 (* n PI)) 3) (sqrt (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* 2.0 PI) (* PI n) (pow (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 1.0) (exp (* 1.0 (+ (log 1) (log n))))) 0.5) (pow (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 1.0) (/ 1 (exp (* 1.0 (+ (log 1) (log (/ 1 n))))))) 0.5) (pow (* (/ 1 (exp (* 1.0 (+ (log 1) (log (/ -1 n)))))) (pow (* (pow -2.0 1.0) (pow PI 1.0)) 1.0)) 0.5) (- (- (+ (+ (* (pow (* (pow 2.0 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow PI 1.0))) 0.5) (+ (* 0.125 (* (pow k 2) (* (pow (log (* 2.0 PI)) 2) NAN))) (* 1.0 (* k (pow NAN 3))))) (* (pow (* (pow 2.0 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow PI 1.0))) 0.5) (+ (* 0.25 (* NAN (* (pow k 2) (* (log (* 2.0 PI)) (log n))))) (* 1.0 (* (pow k 2) (pow NAN 5)))))) (* (pow (* (pow 2.0 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow PI 1.0))) 0.5) (+ (* 1.0 NAN) (* 0.125 (* (pow k 2) (* NAN (pow (log n) 2))))))) (* (pow (* (pow 2.0 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow PI 1.0))) 0.5) (+ (* 0.5 (* k (* NAN (log n)))) (* 0.5 (* (pow k 2) (* (log (* 2.0 PI)) (pow NAN 3))))))) (* (pow (* (pow 2.0 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow PI 1.0))) 0.5) (+ (* 0.5 (* k (* (log (* 2.0 PI)) NAN))) (* 0.5 (* (pow k 2) (* (pow NAN 3) (log n))))))) (+ (* 1.0 (* (/ NAN (* k (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) k))))) (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow (exp (* 1.0 (+ (log 1) (log (/ 1 n))))) 1.0)) 0.5))) (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow (exp (* 1.0 (+ (log 1) (log (/ 1 n))))) 1.0)) 0.5) (+ (* 1.0 (/ (pow NAN 5) (* (pow k 3) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) k)))))) (* 1.0 (/ (pow NAN 3) (* (pow k 2) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) k))))))))) (* (* (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow (exp (* 1.0 (+ (log 1) (log (/ -1 n))))) 1.0)) 0.5) (+ (/ NAN (* (exp (* 0.5 (* k (- (log (* -2.0 PI)) (log (/ -1 n)))))) k)) (/ 1 (* (exp (* 0.5 (* k (- (log (* -2.0 PI)) (log (/ -1 n)))))) NAN)))) 1.0) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) 2.777 * * * [progress]: adding candidates to table 3.030 * [progress]: [Phase 3 of 3] Extracting. 3.030 * * [regime]: Finding splitpoints for: (# # # # # # # #) 3.032 * * * [regime-changes]: Trying 3 branch expressions: ((* (* 2.0 PI) n) n k) 3.032 * * * * [regimes]: Trying to branch on (* (* 2.0 PI) n) from (# # # # # # # #) 3.097 * * * * [regimes]: Trying to branch on (* (* 2.0 PI) n) from (# # # # # #) 3.150 * * * * [regimes]: Trying to branch on n from (# # # # # # # #) 3.211 * * * * [regimes]: Trying to branch on k from (# # # # # # # #) 3.273 * * * [regime]: Found split indices: #